what is the solution of the system equation?
y=3x+7
y=x-9

Answers

Answer 1

Answer:

y=-17, x=-8

Step-by-step explanation:

x-9=3x+7

Isolate x for x-9=3x+7;

x-9=3x+7

Add 9 to both sides:

x-9+9=3x+7+9

Simplify;

x=3x+16

Subtract 3x from both sides;

x-3x=3x+16-3x

Simplify;

-2x=16

Divide both sides by -2;

-2x/-2=16/-2

simplify: -2x/-2

=x

Simplify 16/-2:

x=-8

For y=x-9 substitute x=-8;

y=-8-9

Simplify;

y=-17

The solutions to the System of equations are;

y=-17, x=-8


Related Questions

here's a formula:
a=2b-c
what is the value of a if b=11 and c=3?​

Answers

Answer:

a = 19

Step-by-step explanation:

a=2b-c

a= 2(11) - 3

a = 22 - 3

a = 19

Answer:

a = 19

Step-by-step explanation:

2 x 11 = 22 - 3 = 19

So a = 19

A mirror is placed on the ground between a 6 ft person and a
tree. If the mirror is 8 feet from the person and the distance
between the mirror and tree is 26 feet, find the height of the tree.

Answers

Answer:

Step-by-step explanation:

h/26=6/8

h=26(6)/8

h=19.5 ft

Question 13 (5 points)
Keith has $75 from a saved allowance. He needs at least $135 for a new pair of
sneakers. Keith needs no less than more to buy the sneakers.
A) $72
B) $60
O g) 878
D) $56
Question 14 (5 points)

help

Answers

B) $60
keith has $75 he needs at least $135 for his new sneakers so you take $75 and subtract that from $135 and you get $60 .

Fred drew 2/3 on a number line. Sara broke her number line into 6 equal pieces but found the same fraction on the number line as Fred. What fraction did Sara make?

Answers

Answer:

4 / 6

Step-by-step explanation:

Fred fraction = 2/3

Sarah formed a fraction by dividing her number line into 6 equal pieces. This is given as;

x / 6

Since her fraction is equal to that of fred, we have;

x / 6 = 2 / 3

x = 6 * 2 / 3 = 4

Sarah Fraction = 4 / 6

Convert into kilometer 213 km 42 m

Answers

Answer:

213.042  km

Step-by-step explanation:

We need to convert 213 km 42 m to km.

We know that,

1 km = 1000 m

or

1 m = (1/1000)km

So,

42 m = (42/1000) km

It means,

[tex]213\ km\ 42\ m=213\ km+\dfrac{42}{1000}\ km\\\\=213.042\ km[/tex]

So, the required answer is 213.042  km.

Match the missing angle measurement to the diagram

Answers

You have to have a picture of the question bro

Just number 14 pleaseee

Answers

9514 1404 393

Answer:

  Step 2 is where the error lies.

  The solution is x > 6

Step-by-step explanation:

The rules for solving inequalities are substantially similar to the rules for solving equations. If you perform the same operation on both sides of the comparison, the value of the variable does not change. (The exception is when that operation is an "order-reversing" operation. See comment below.)

Kahal's steps would be expected to be the same ones you would use:

  Step 1: 4x -4 > 20 . . . given

  Step 2: 4x > 24 . . . add 4 to both sides

  Step 3: x > 6 . . . . . divide by 4

We note that our Step 2 is different from Kahal's Step 2. In Step 2 is where his mistake was made. He added 4 to one side and subtracted 4 from the other side.

__

Exception (order-reversing operations)

The operation you will usually run across in high-school algebra that will reverse ordering is multiplication (or division) by a negative number. Consider, for example, ...

  1 < 2

  -1 > -2 . . . . . both sides of the inequality multiplied (or divided) by -1

Notice that the order has been reversed: the larger magnitude number is now "less than".

The 15th term of an arithmetic sequence is 110 and the 19rd term of the sequence is 134.
a) Find the common difference.
b) Find the first term.
c) What is the 25th term?

Answers

Step-by-step explanation:

a) Common Difference = ?

15th term = 110

19th = 134

134 - 110

= 24/4

= 6

Common Difference = 6

b) First term = ?

110 = x+ (14) 6

x = 110 - 84

x = 26

First term = 26

c) 25th term = ?

= x 25 = 26+ (25)6

= x 25 = 176

25th term = 176.

Which of the expressions have like terms? Select all that apply
A. -6m + 4m
B. t + 6.75t
C. 10m + mn
D. 6 - 6p
E. 9xy - 4xy
F. 2y + 5x

Answers

Answer:

A, B, and E

Step-by-step explanation:

When talking about like terms you need to look at the variable. You have to look at which has the same variables and then you can determine which are like terms.

For A --> -6m + 4m both have m as a variable. They can be combined. Which is why they are like terms. Do the same for the rest.

What would NOT be like terms?

C-- 10m + mn

This is wrong because of the variable. the variable for 10m is m. When there is only a variable you can pretend there is a 1 (For example, m can be 1m but we ignore that). mn is a variable as a whole. So if we added one to the front, the variables of 10m and 1mn would not match! It does not matter if they both have an m, because the value would be different either way.

Hope this helps!!

-Ketifa

What is 3 divided by 4?

Answers

Answer:

3/4 is 75/100 or 0.75

Step-by-step explanation:

-5 + 2( x - 2 )

Show your work

Answers

Answer:

Step-by-step explanation:

look at the image

A team can spend no more than $300 on shirts. The team has already spent $80. How many shirts for $15 each can they still buy?​

Answers

Answer:

80 + 15x ≤ 300

Step-by-step explanation:

max amount = $300

already spent = $80

$300 - 80 = $220

shirts = $15 each

80 + 15x ≤ 300

$80 that is already spent + $15x ≤ $300 maximum

x = number of shirts

what is The graph of y=-3x+4

Answers

That is the graph, i graphed it.

Answer:

Use the slope-intercept form to find the slope and y-intercept.

Slope: −3 . y-intercept: (0,4)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

X   Y

0    4

3/4  0

Graph the line using the slope and the y-intercept, or the points.

Slope: −3.  y-intercept: (0,4)

x    y

0    4

4/3 0

Step-by-step explanation:

PLEASE, help! thank u
4th time

Answers

Answer:

I do not no the answer but I had an assignment on khan like this before so maybe check khan academy if u haven't yet

Remember that vertical angles are congruent and same side exterior angles are congruent, and that suppelmentary angles are 180° total.

¿En qué caso es más útil emplear el método de sustitución? ¿En qué caso es más útil emplear el método de reproducción

Answers

Answer:

I know this

Step-by-step explanation:

but I dont :) goodluck tho

using the triangle below find the measure of angle B round your answer to the nearest whole number ​

Answers

what angle is angle b

Answer:

angle v = 46 degrees

Step-by-step explanation:

tan-1 = [tex]\frac{opposite}{adjacent}[/tex]

tan-1 V = [tex]\frac{21}{20}[/tex]

[tex]\frac{21}{20}[/tex] = 1.05

tan-1 V = 1.05

V = 46.397

round to the nearest whole number:

46.397 = 46

Find the measurement of the exterior

A. 100°
B. 15°
C. 145°
D. 35°

Answers

Answer:

C

Step-by-step explanation:

(180- 80+65 = 35) sum of the angle in a triangle.

to get the exterior angle

180 - 35 = 145 (sum of angle on a straight line is 180)

...C. 145° on Ap3x.....

As she climbs a hill, a cyclist slows down from 25 km/hr to 3 km/hr in 10 seconds. What is her deceleration?

Answers

Deceleration is always the opposite of Acceleration so is negative. So deceleration =-2.2m/s^2

could you help please​

Answers

The 18th term would be 70

What are the angle measures?

Answers

a.  Equation:

3x + 21 = 6x - 60           {measure of corresponding angles is the same}

3x - 6x = -60 - 21

- 3x = - 81

b. Value of x:

  x = 27

c.  Ange measures:

3x + 21 = 3×27 + 21 = 81 + 21 = 102°

or:

6x - 60 = 6×27 - 60 = 162 - 60 = 102°

I know school can be hard and believe me I know sometimes u just want to quit but being in school can make a difference so I want to get u a lot of points please do your best have a good day or night​

Answers

Answer:

Step-by-step explanation:

Thanks fam have a. Good night

What is the exponential function (0,25) (1,50) (2,100) (3,200) (4,400)

Answers

Answer:

Step-by-step explanation:

If it is exponential dividing any term by the preceding term will be a constant, the common ratio or rate. 50/25=100/50...=2 The initial value, a, (at x=0) is 25 so the general form is

y=ar^x we have a=25 and r=2 so

y=25(2^x)

1/3 x 3/8 with steps please. And thank you.

Answers

Answer:

(1/3) * (3/8) = 1/8

Step-by-step explanation:

Multiple: 1/3* 3/8

= 1 · 3/3 ·8

= 3/24

= 1  3/8·3

= 1/8

In the given diagram(see image) , TAX and TBY are tangents to the circle and C is a point on the major arc.

Question :
If <CAX = 65° , <CBY = 76° , Calculate <ATB.​

Answers

Answer:

∠ATB = 102°

Step-by-step explanation:

Since ∠CBY is less than 90°, CB is not a diameter.

I did this in my head so I drew a sketch to show that around about way I did it. sketch attached:

I drew a third line from X to Y that is tangent to the circle at C.

Because each pair of tangent lines to a common point are equal, we have made three isosceles triangles.  

Now we know 2 of the three angles to ΔXYT, 180 - 50 - 28 = 102° for ∠ATB

Answer:

102°

Step-by-step explanation:

Given

∠CAX = 65° , ∠CBY = 76°

To find

∠ATB

Solution

Refer to attached picture

∠CAX= ∠CBA as same arc intercepted ∠CBY = ∠CAB as same arc intercepted

TAX is a straight angle and:

∠TAB = 180° - (∠CAX + ∠CAB) = 180° - (65° + 76°) = 39°

∠TBA = ∠TAB as two tangents intersect at same distance, their opposite angles are therefore same. ΔATB is an isosceles triangle.

∠ATB = 180° - 2*39° = 102°

What are the zeros of the polynomial function?

Answers

Answer

12 and 20

Step-by-step explanation:

Geometry student reference sheet

Answers

Answer:

i am so sorry but i need points a=5

Please answer this math problem soon! No need for an explanation

Answers

Answer:

32

Step-by-step explanation:

Did this before I got 32 and it was correct

The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is the largest of the two numbers?

Answers

Answer:

32.5

Step-by-step explanation:

23x6÷4-2 and that's how you get your answer

Answer as quickly as you possibly can

Answers

Answer:

m = 3/2

Step-by-step explanation:

You want to find the slope, or the change in y coordinates over change in x-coordinates.

The first given point is E(-2, -4)

The second point is F(2, 2)

Coordinates are given in (x, y), so following the equation and computing the  x and y coordinates of E - F for both the numerator and denominator:

[tex]\frac{y_2 - y_1}{x_2-x_1} = \frac{-4 -2}{-2 -2} = \frac{-6}{-4} = \frac{3}{2}[/tex]

You could also have went the other way and calculated F - E for the numerator and denominator and get the same answer.

Finally, to check you can also look at the graph through the rise over run (rise/run) method and see that from E, you go up 3 (rise) and to the right 2 (run) to get to the next point on the line.

What is the square root of √25

Answers

Answer:

5 is the square root of 25

Step-by-step explanation:

Have a great day!

and can I maybe please have brainliest?

Thanks!

Answer:

5 is the square root of √25

Step-by-step explanation:

hope it helps you

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