Use emlimination to solve the system x-5y=20 and x+3y=-4 for x

Answers

Answer 1

Answer:

y=-3 , x=5

Step-by-step explanation:

x-5y=20              x-5y=20

-(x+3y=-4)   new -x-3y=4

                           x-5y=20

                             -8y=24

                             -8     -8

                              y=-3      x-5y=20

                                            x-5(-3)=20

                                             x+15=20

                                                -15= -15

                                                  x=5

                         

Answer 2

The value of x is 5 for the system of equations [tex]x-5y=20[/tex] and[tex]x+3y=-4[/tex].

The given system of equations are :

[tex]x-5y=20[/tex] ...(1)

[tex]x+3y=-4[/tex]...(2)

To solve the equation, multiply equation (2) with -1.

[tex]-x-3y=4[/tex]...(3)

Add equation (1) and (3):

[tex]x-5y-x-3y=20+4[/tex]

Combine like terms:

[tex]-8y=24[/tex]

Divide both sides by -8:

[tex]y=-3[/tex]

Now, we substitute the value of [tex]y = -3[/tex] into either of the original equations to solve for x.

[tex]x - 5(-3) = 20[/tex]

[tex]x + 15 = 20[/tex]

[tex]x = 20 - 15[/tex]

[tex]x = 5[/tex]

Therefore, the solution to the system of equations is[tex]x = 5[/tex] and [tex]y = -3.[/tex]

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Related Questions

To convert 120 ounces to pounds which of

Answers

Answer:

7.5 pounds

Step-by-step explanation:

you divide 120 by 16 to get how many pounds is needed

Answer:

7.5 pounds because...

Step-by-step explanation: ... it is 7.5 pounds if you divide 120 divided by 16 you would get 7.5 pounds.

pls help I dont know how to work it out​

Answers

Answer:

10 red, 35 blue

Step-by-step explanation:

2/9 of the 45 marbles must be red.

2/9 * 45 = 10

Answer:

10

Step-by-step explanation:

let's make the number of red marbles x

so probability of getting red marbles is x/45

so;.

[tex] \frac{x}{45} = \frac{2}{9} [/tex]

[tex] 45 \times \frac{x}{45} = \frac{2}{9} \times 45[/tex]

[tex]x = \frac{2}{9} \times 45[/tex]

[tex]x = 10[/tex]

so the number of red marbles is 10

I don’t get this and I need to pass it please help!!!

Answers

Answer:

Choice A x= 16, y= 9√2

Step-by-step explanation:

x= 9+7 =16

y= √9²*2= 9√2

if 2x/5 = 4 what is x

Answers

Answer:

x = 10

Step-by-step explanation:

Given

[tex]\frac{2x}{5}[/tex] = 4 ( multiply both sides by 5 )

2x = 20 ( divide both sides by 2 )

x = 10

Answer : 10
2x/5 = 4
2x/5 * 5 = 4*5(multiplying on both sides with 5)
2x = 20
2x/2 = 20/2(dividing on both sides by 2)
x = 10
Hope you get the answer

what is the length of BC?
help asp

Answers

Answer:

The answer would be 22.

A rectangular swimming pool is 19 m wide by 35 m long. what is the length of the diagonal of the pool round to the nearest 10th

Answers

Answer:

39.8

Step-by-step explanation:

for this question, use the Pythagorean theorem which is:

a^2 + b^2 = c^3

a = 35

b = 19

c = the answer

lets solve it:

35^2 +19^2 = c^2

solve the exponents first

1225 + 361 = c^2

1586 = c^2

square root both to find c

(the answer is rounded)

39.824 = c

rounded to nearest 10th:

c = 39.8

Answer:

the answer is 39.8m

Step-by-step explanation:

You divide the pool with the diagonal and you obtain a right angled triangle with its base as 35m and its height as 19m. then using pythagoras theorem, you find the length of the hypotenuse and this is the length of the diagonal of the pool.

y+3 7/15 =12 14/15 − 8/15
Solve the equation.

Answers

Answer:

y=9 7/15

Step-by-step explanation:

y + 3 7/15 = 12 14/15 - 8/15

y + 3 7/15 = 12 14/15

y + 3 7/15 = 12 14/15

   - 3 7/15  - 3 7/15

y             =  9 7/15

Which excerpt from the passage best states the authors'
claim?
11
"Slave owners fought back, arguing that owners should
be able to list their slaves as property...
"All men are equal,' he insisted in 1716—exactly sixty
years before the Declaration of Independence."
"Why did people keep speaking of equality while
profiting from slaves?"
"Following the strand of sugar and slavery leads directly
into the tumult of the Age of Revolutions."

Answers

Answer:

D - "Following the strand of sugar and slavery leads directly

into the tumult of the Age of Revolutions."

Step-by-step explanation:

Answer:

D - "Following the strand of sugar and slavery leads directly

into the tumult of the Age of Revolutions."

Step-by-step explanation:

20 POINTS PLEASE HELP ASAP I ONLY HAVE TELL 12 AM (oregon time too tired to remember what time zone bc i pulled a all nighter last night lolz)

Answers

Answer:

x=114

Step-by-step explanation:

opposite angles are equal

Answer:

114°

Step-by-step explanation:

114° is opposite to x

opposite angles are equal

x=114°

the other one is 66°,because straight lines add upto 180°, hence 180-114=66°

what is the measure of

Answers

Answer:

(A) 20 degrees

Step-by-step explanation:

Inside the (G) angle is writen (2x + 10)

2 X 10 = 20

Which of these tables represents a function?

Answers

Answer:

The answer would be B

Step-by-step explanation:

x-1=y

Question 4 (1 point)

What is the asymptote of the exponential function y=4"?

x=0

x=4

y=0

y=4

Answers

Answer:

(C)y=0

Step-by-step explanation:

An exponential function of the form [tex]f(x) = a (b^x) + c[/tex] always has a horizontal asymptote at y = c.

Given our function [tex]y=4^x[/tex]

Comparing with the form,  [tex]f(x) = a (b^x) + c[/tex], we observe that c=0.

Therefore, the exponential function has an asymptote at y=0.

The correct option is C.

What’s the difference between sine and cosine

Answers

Answer:

Sine and cosine — a.k.a., sin(θ) and cos(θ) — are functions revealing the shape of a right triangle. Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse , while cos(θ) is the ratio of the adjacent side to the hypotenuse .

Step-by-step explanation:

Answer:

A.k.a., sin(total), cos(total) are functions that indicate the direction a triangle is right. Speaking from an angle point, sin(f) is an opposite of a hypotenous ratio, while cos(f) is the equivalent to the hypotenuse ratios

Step-by-step explanation:

Answer is above

Hope this helps.

Plz help I will mark u brainiest

Answers

Answer:

28

Step-by-step explanation:

It is 28 because if you have a graphing table make sure to mark (2,0) and (6,0) first and then mark the seven, after you mark the seven mark (2,7) and (6,7)

For your birthday you get an i‐Tunes gift card. The total cost for you to buy 3 albums at $9.99 each and then 5 individual songs each worth $1.29 is given by the expression 3(9.99) + 5(1.29).
PLz answer
ans show your work thank you

Answers

Answer:

$36.42

Step-by-step explanation:

3*$9.99=$29.97

5*$1.29=$6.45

3 albums would cost $29.97, and 5 individual songs would cost $6.45.

3 albums would cost $29.97, and 5 individual songs would cost $6.45.

For your birthday you get an i‐Tunes gift card. The total cost for you to buy 3 albums at $9.99 each and then 5 individual songs each worth $1.29 is given by the expression 3(9.99) + 5(1.29).

What is Equation?

Two expressions with an equal sign is called as equation.

Through given data we construct equations,

3 albums at $9.99 is given by

3*$9.99=$29.97

5 individual songs each worth $1.29

5*$1.29=$6.45

Total cost for you to buy 3 albums at $9.99 each and then 5 individual songs each worth $1.29 is given by the expression.

3(9.99) + 5(1.29).

=29.97+6.45

=36.42

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Find the exact length of the third side.
40
9

Answers

Answer:

89

Step-by-step explanation:

You are starving after class and go to the kitchen to make a sandwich. You look in the refrigerator and you see you have white bread, rye bread and whole wheat bread, as well as turkey and ham lunch meat, and Swiss cheese, American cheese and Cheddar cheese. How many different possible sandwich combinations can you make

A)16
B)12
C)36
D)18

Answers

Step-by-step explanation:

Assuming we use only one kind of bread, meat and cheese, we have 3, 2, and 3 options for them respectively. Therefore, the total amount of sandwiches we can make is 3 * 2 * 3 = 18.

Your answer will be D

Anna spent $2.10 for 15 pencils, and Hendrik spent $2.00 for 21 pencils, and Jamie spent $1.60 for 11 pencils. List the students from least to greatest according to unit price paid.

Answers

Answer:

The unit rate for the pencils ANNA bought is $7.14

The unit rate for the pencils HENDRICK bought is $10.5

The unit rate for the pencils JAMIE bought is $6.87

Jamie, Anna, Hendrick

Step-by-step explanation:

I need help with this I have a few minutes left cuz it's timed.

Answers

Answer:

She wronged in V1.

Step-by-step explanation:

She write wrongly for the values of length and height. The length of V1 should be 7ft + 4ft which is 11ft and the height is 5ft.

So the volume of V1 is :

V1 = 2ft × 11ft × 5ft

= 110 ft³

Solve system of equations for x + y: -4x + 9y = -11 & -3x + 7y =-9

Answers

Answer:

x = -3   and   y = -4

x + y = -3-4 = -7

Step-by-step explanation:

-4x + 9y = -11 ------------------------------------------------------------------------(1)

-3x + 7y = -9--------------------------------------------------------------------------(2)

multiply through  equation (1) by 3   and multiply through equation(2) by 4

-12x + 27y = -33 -----------------------------------------------------------------------(3)

-12x + 28y   = -36 ----------------------------------------------------------------------(4)

subtract equation (1) from equation (2)

y = -3

substitute y = -3 into equation (2)

-3x + 7(-3) = -9

-3x -21 = -9

add 21 to both-side of the equation

-3x -21 + 21 = -9 + 21

-3x = 12

divide both-side of the equation by -3

-3x/-3 = 12/-3

x = -4

x = -3   and   y = -4

Allen Tennis Inc. pays its employees on a piece-rate basis of $0.25 for each tennis ball they produced. Boris Becker produced 2,664 Tennis balls. What was his gross pay?

Answers

Answer:

$666

Step-by-step explanation:

I think you just need to do 2664×0.25 ( which you can do it on a calculator ) , is

$666

Answer:

666

Step-by-step explanation:

Because u multiply 2664 by .25

Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 13?
A. It is the graph of y= x translated 13 units up.
OB.
It is the graph of y = x translated 13 units to the right.
C.
It is the graph of y= x translated 13 units to the left.
• D. It is the graph of y = x where the slope is decreased by 13.

Answers

Answer:

D

Step-by-step explanation:

Refer to picture.

When graph of y = x is transformed to y = x - 13,

U can visualise it by drawing the before and after transformed graphs to compare in order to deduce the answer.

From the picture, you will realise that when x is unchanged, I'm this case I'm using points x=0 and x=13, the value of the y coordinate in the transformed graph (y = x-13) actually decreased by 13 units as compared to the original graph of y=x.

Hence the graph actually got translated 13 units in the direction of negative y axis which is option D

As per the translation of a graph, the given graph y= x is translated 13 units  to the right.

What is the translation of a graph?

"The translation of a graph is its rigid movement, vertically or horizontally."

The given equation of the graph is: y = x.

The equation of the translated graph is: y = x - 13.

We know, the translation of a graph from y = f(x) to y = f(x - a) is translating the graph to the right by 'a' units.

Therefore, the given graph y= x is translated 13 units to the right.

Learn more about the translation of a graph here: https://brainly.com/question/21280965

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HELPPPPPPPPPPPPPPPPPPPPPPPPP
Which equation correctly demonstrates the distributive property?


A. 6(4 - 3w) = 24 - 3w B. 6(4 - 3w) = 24 + 3w
C. 6(4 - 3w) = 24 + 18w D. 6(4 - 3w) = 24 - 18w

Answers

We need to use this formula:

a(b+c)=ab+ac

[tex]6(4-3w)=6\times4-6\times3w=24-18w[/tex]

Answer: D

Answer:

D will be your answer!

Step-by-step explanation:

I hope this helps!

For this function, the average rate of change __ as x increases.

Answers

Answer:

increases

Step-by-step explanation:

edg 2020

Answer:

increases

Step-by-step explanation:

I need to solve this problem

Answers

Answer:

Step-by-step explanation:

First add 45 and 78 to find the total weight in grams.

45 + 78 = 123

Then find the weights that will work 1 100, 2 10, 3 1,

A swimming pool is 14 yards long and 6 yards wide.
Part A
Which equation can you use to find the area of the bottom of the pool?

A. (2 x 14) + (2 x 6) = a
B. 2 x (14 + 6) = a
O C.
C. 14 x 6 = a
D. (2 + 14) x (2 + 6) = a​

Answers

Answer:

C)

Step-by-step explanation:

Area of bottom of pool = length  * width

                                   a  = 14 * 6

15 POINTS BRAINLIEST Calculate the coefficient of x2y6 in the expansion of (x + y)8.


15


56


28


12

Answers

Answer:

28

Step-by-step explanation:

Consider the expansion:

[tex]$(x+y)^2=\sum_{k=0}^{n} \binom{n}{k}y^{n-k}x^k$$[/tex]

[tex]$ \binom{n}{k}=\frac{n!}{(n-k)!k!}[/tex]

We have

[tex]$\left(x + y\right)^{8}=\sum_{k=0}^{8} \binom{8}{k} \left(y\right)^{8-k} \left(x\right)^k[/tex]

I'm sorry but I will not write and solve everything, typing LaTeX takes time. But that's the idea:

For [tex]k=0[/tex]

[tex]$\binom{8}{0} \left(y\right)^{8-0} \left(x\right)^{0}=\frac{8!}{(8-0)! 0!}\left(y\right)^{8} \left(x\right)^{0}=y^{8}[/tex]

For [tex]k=2[/tex]

[tex]$\binom{8}{2} \left(y\right)^{8-2} \left(x\right)^{2}=\frac{8!}{(8-2)! 2!}\left(y\right)^{6} \left(x\right)^{2}=28 x^{2} y^{6}[/tex]

[tex](x+y)^8={x}^{8} + 8{x}^{7}y + 28{x}^{6}{y}^{2} + 56{x}^{5}{y}^{3} + 70{x}^{4}{y}^{4} + 56{x}^{3}{y}^{5} + 28{x}^{2}{y}^{6} + 8x{y}^{7} + {y}^{8}[/tex]

15 POINTS!!!ASAP!!!HELP!!!!!! I WILl MARK THE BRANLIEST!!!The graph relates the number of gallons of white paint to the number of gallons of red paint Jess used to make the perfect print. Write an equation that describes the relationship.

Answers

Answer:

y = 2/3x

Step-by-step explanation:

The first step is to find the slope

Pick two points on the line (0,0) and (3,2)

m = (y2-y1)/(x2-x1)

    = (2-0)/(3-0)

    = 2/3

The y intercept is 0

Using the slope intercept form

y =mx+b  where m is the slope and b is the y intercept

y = 2/3 x +0

y = 2/3x

Answer:

1/3x

Step-by-step explanation:

trust me

Please help with this

Answers

Answer:

C

Step-by-step explanation:

The triangle is reflected across the y-axis and moved down 3 units.

Rectangle LMNO has vertices L (–4, 6), M (–1, 6), N (–1, 2), and O (–4, 2). Suppose you reflect this rectangle across the x-axis, and then translate it up two units. What are the corresponding vertices of L′′M′′ N′′O′′? Question 11 options: A) L′′ (–4, –4), M′′ (–1, –4), N′′ (–1, 0), O′′ (–4, 0) B) L′′ (4, –4), M′′ (1, –4), N′′ (1, 0), O′′ (4, 0) C) L′′ (–4, 8), M′′ (–1, 8), N′′ (–1, 4), O′′ (–4, 4) D) L′′ (–4, –8), M′′ (–1, –8), N′′ (–1, –4), O′′ (–4, –4)

Answers

Answer:

The correct option is:

A) L'' (-4 , -4) , M'' (-1 , -4) , N'' ( -1 , 0) , O'' (-4 , 0)

Step-by-step explanation:

The following are the vertices of a rectangle LMNO

L (-4 , 6)

M (-1 , 6)

N (-1 , 2)

O (-4 , 2)

First we have to reflect it across x-axis

When we reflect a shape across x-axis, the x components of the points remain the same while y components change their signs. After reflection:

L' (-4 , -6)

M' (-1 , -6)

N' ( -1 , -2)

O' (-4 , -2)

After we translate it up by two units, we add +2 to y components of each reflected point.

L'' (-4 , -4)

M'' (-1 , -4)

N'' ( -1 , 0)

O'' (-4 , 0)

Hence, the correct option is A

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