Mathematics Middle School

Solve the following systems using the elimination method.

4x + 7y = 19
2x - y = -13

Answers

Answer 1

Answer: x = -4, y = 5

Step-by-step explanation:

[tex]$$Solve the following system: \\$\left\{\begin{array}{ll}7 y+4 x=19 & \text { (equation 1) } \\ -y+2 x=-13\end{array} \quad\right.$ (equation 2)\\\\Subtract $\frac{1}{2} \times($ equation 1) from equation 2 :\\$\left\{\begin{array}{l}4 x+7 y=19 \ \ \ \ (\text{equation 1}) \\ 0 x-\frac{9 y}{2}=-\frac{45}{2}\end{array}\right.$ (equation 2)\\\\Multiply equation 2 by $-\frac{2}{9}$ :\\[/tex]

[tex]\begin{cases}4 x+7 y=19 & \text { (equation 1) } \\ 0 x+y=5 & \text { (equation 2) }\end{cases}$\\\\Subtract $7 \times($ equation 2) from equation 1:\\$\begin{cases}4 x+0 y=-16 & \text { (equation 1) } \\ 0 x+y=5 & \text { (equation 2)\\ }\end{cases}$\\\\Divide equation 1 by 4 :\\$\begin{cases}x+0 y=-4 & \text { (equation 1) } \\ 0 x+y=5 & \text { (equation 2) }\end{cases}$\\\\Answer:\\$$\left\{\begin{array}{l}x=-4 \\y=5\end{array}\right.$$[/tex]

Answer 2
Answer: x = -4, y = 5

Step-by-Step Explanation:

=> 4x + 7y = 19 (Eq. 1)
=> 2x - y = -13 (Eq. 2)

We can multiply Eq. 2 by 7 in order to make the coefficients of ‘y’ same in both the equations thus being able to eliminate ‘y’ and find ‘x’

Therefore,
(2x - y = -13) * 7
=> 14x - 7y = -91 (Eq. 3)

On Adding Eq. 1 and 3, we get :-

18x = -72 (‘y’ gets Eliminated)
x = -72/18
=> x = -4

Therefore, x = -4

Substitute value of ‘x’ in Eq. 2 :-

2x - y = -13
2(-4) - y = -13
-8 - y = -13
-y = -13 + 8
-y = -5
=> y = 5

Therefore, y = 5

Related Questions

Please help me! it doesn't make any sense!!

Answers

A is 9 as you do the workings of 3x3
Therefore, B is then 4x3 who is 12
And try do the rest on your own!!

What two other measurements can i do? ( screenshot below )

Answers

Answer:

see below

Step-by-step explanation:

First one  122 m    is  .122 km    is   12200 cm

second one is   116 cm    is   1.16 m     is   1160 mm

Mrs. Lopez is investing $2,000 into an account that earns 5% interest compounded annually. What is the total amount she will have in the account after 2 years if no additional deposits or withdrawals are made?

(Round to the nearest hundredth)

Answers

5% 2000 = 100

Thus after 1 year she’ll have 2100

5%of 2100 = 105

This after 2 years, she’ll have 2100+105= 2205

Using the figure below, state the transversal that forms each pair of angles. Then identify pair of angle as Corresponding angles, same side interior angles, alternative interior angles, Alternative exterior angles. (Click on drop down menu and select the correct answer)

Answers

Answer:

m<1=m<5 alternative exterior

m<2=m<6

m<3=m<7

m<4=m<8

m<9=m<13

m<10=m<14

m<11=m<15

m<12=m<16

Step-by-step explanation:

What would be the correct calculation to determine pi from this circle?

A. 2 + 4
B. 4 - 2
C. 2 ÷ 4
D. 12.56 ÷ 4

Answers

your answer would be c
I don’t know but I hope it is right C

(PLEASE HELP) The picture explains everything.

Answers

Store #2 since it has a lower MAD

Each person in a group buys a movie ticket, a drink, and a popcorn. How much does the group pay when there are 5 people in the group?

Answers

Answer:

10.75$

Step-by-step explanation:

$5.00 + $2.75 + $3.00 = $10.75 x5 = $53.75

Ticket     Drink   Popcorn   Multiply it by five,

Results is $53.75

Make sure to brainiest me!

- Jackson

Factor -22 out of 15.4b -6.6

Answers

Answer:

-7b+3

Step-by-step explanation:

first step you will find numbers if you take -2.2 to get those numbers

Rewrite the following equation as a function of x 25x^4 - 625y - 500 = 0

Answers

Answer:

f(x)1/25x⁴-4/5

Step-by-step explanation:

Your welcome :)

The ages of crocodiles in water are normally distributed, with a mean of 70 years and a standard deviation of 7. Approximately what percentage of the crocodiles are between 60 and 80 years old?


7.64%

84.72%

42.36%

57.76%

Answers

So what you have to do is add all of the numbers and then you divide them by 7
What that guy said^^

Find the distance between the two points.
(2, 4), (7,2)

Answers

Answer:

distance between the two points is:

Step-by-step explanation:

the distance between (2,4) and (7,2) is [tex]\sqrt{x} 29\\[/tex].

Answer:

-5/2

Step-by-step explanation:

There is a few ways to do this.  First you can graph the point and count the boxes or you can use slope formula.

You subtract
7-2       5
----   = ___
2-4        -2



I hope this helps!

PLEASE HELP!!!!!!! QUICK

Answers

Answer:

I think b sorry if wrong

Step-by-step explanation:

but I would go with b sorry if wrong

Answer: c
Line I is 5 units away from zero. If you reflect that line the 5 becomes negative. So now that line is in -5. If we move the line up 2 units it is at -3. N is also at -3. So the answer is c

Devin and Linda are filling a large container to wash their dog. Devin fills a 5.2-gallon bucket and empties it in the container 3 times. Linda fills a 2.3-gallon bucket and empties it in the container 6 times. How many more gallons of water did Devin empty into the large container than Linda?


I know how to solve.
it is for people who need points to solve it!

Answers

Answer:

1.8 gallons

Step-by-step explanation:

5.2 x 3 = 15.6

2.3 x 6 = 13.8

15.6 - 13.8 = 1.8

Answer:

1.8 Gallons

Step-by-step explanation:

Devin: 5.2x3= 15.6

Linda: 2.3x6=13.8

15.6-13.8= 1.8 Gallons

I need help! (20 POINTS) HELP!!!

Answers

both of them would be 3 by using the slope formula

What is 1/5 multiplied by 4 in the simplest form?

Answers

1/5 x 4 is going to be 4/5 because
1 x4 =4
5 1 =5
so, it equals 4/5!

Answer:

4/5

Step-by-step explanation:

1/5 * 4 = 4/5

Hope this helped, and have a good day!

Which one is the correct answer?

Answers

[tex] \large \sf \pmb{D) \: \frac{3n}{2} + 5 \geqslant - 12 }\\[/tex]

Three time the quotient of a number and 2 increased by 5 is at most -12.
A is the answer fr fr

please help I need to know what 100x 2 is thanks

Answers

The answer is 200 because 100x2 is 200

Answer:

100 x 2

= 200

You can just do 100 + 100

You'll get the same answer.

Step-by-step explanation:

Hope this helps!

From your neighborhood softie :)

i need help with this will be giving 10 points

Answers

Answer:

Its D

Step-by-step explanation:

Both triangles are obtiuse rubber goose green mouse guva juice

IT IS D I knew it pls give brain,y I’m trying to get new rank before my day

i need help with the steps for the triangular prism. thank you.

Answers

Step-by-step explanation:

The formula of prism is area of right angled triangle × height

Answer:

50480530

Step-by-step explanation:

Volume of triangular prism :

1/2 x length x breadth x height1/2 x 5 x 4 x 52 x 2550 cm²

Volume of rectangular prism :

length x breadth x height10 x 8 x 610 x 48480 cm²

Total Volume of Composite Figure :

Volume of triangular prism + Volume of rectangular prism50 + 480530 cm²

Find the interest on $5432 at 6% for two years

Answers

The answer I got is 6,083.84
Hope this helps!

If the scale factor is 9, then the area of the preimage is multiplied by _____ or _____ to calculate the area of the new image.

Answers

Answer:

Step-by-step explanation:

Multiply why the scale factor

The complete statement is -

If the scale factor is 9, then the area of the preimage is multiplied by 9 to calculate the area of the new image.

What is scale factor?

Scale factor is the ratio of original dimensions to the scaled dimensions.

Given is to complete the statement as -

"If the scale factor is 9, then the area of the preimage is multiplied by _____ to calculate the area of the new image."

If the scale factor is 9, then the area of the preimage is multiplied by 9 to calculate the area of the new image.

Therefore, the complete statement is -

If the scale factor is 9, then the area of the preimage is multiplied by 9 to calculate the area of the new image.

To solve more questions on scale factor, visit the link-

brainly.com/question/29014197

#SPJ2

Which equation is modeled by the data in the table?​

Answers

Answer:

Step-by-step explanation:

In order to get to the correct answer here, you should plug in each of the x-values from the table into all four equations presented in the answer choices to see which one equals all of the y-values.

When you do this and plug each x-value from the table into the answer choices, option C leads you to getting all of the correct y-values.

So the correct answer choice here is option C, y=5x+3

Answer:

the equation modeled by data table is

y = 5x + 3

Measure of Variability:

2) If the mean absolute deviation is a really large number, then what does that mean about the data set?

Answer and show your work/explain (10 points)

Answers

The mean absolute deviation shows the average distance number data is from each other. The bigger it is the farther the numbers are away from each other and vice versa.

BRANILIEST IF CORRECT THOUGH! PLEASE HELP ME!!!!!!!

Answers

The last one! Hope I’ve helped!

Answer:

(9+7)÷2

Step-by-step explanation:

When using pemdas you do the parenthesis first.

P: Parenthesis

E: Exponent

M: Multiplication

D: Division

A: Add

S: Subtract

9 plus 7 would amount to 16, divided by 2 equals 8.

Therefore the answer is (9+7)÷2.

In the following image, 1 and 2 are:

a. adjacent and complementary

b. vertical and complementary

c. vertical and supplementary

d. adjacent and supplementary

Answers

The answer should be c
Yeah the answer is c

1/10x+9/10=1/10(BLANK)

Answers

Answer:

x=-8

Step-by-step explanation:

1 Simplify 1/10x to x/10.

x/10 + 9/10 = 1/10

2 Join the denominators.

x+9/10 = 1/10

3 Multiply both sides by 10.

x+9 = 1/10×10

4 Cancel 10.

x+9=1

5 Subtract 9 from both sides.

x=1-9

6 Simplify  1-9 to  -8.

x=-8

pls help me thank you <3

Answers

Answer: since the highest value is 90, intervals with a range of 5 to 10 cm are reasonable

Answer number 2 please

Answers

Answer: F

Step-by-step explanation:                                                                                                      

J and G dont equal -8                                                                                      

Not H because two negatives equal positive                                                    

F works because if you do it without the negative, it’s eight.                    

Since there is only one negative it turns negative. (-8)

Answer 8 because J and G do not equal -8

i need help on this it is to hard

Answers

Answer:

29.791

Step-by-step explanation:

3.1^3 = 29.791

set as brainliest

Volume is Cross sectional area x length, since that’s a cuboid, the cross sectional area( the 2D shape u would get if u slices that shape in the middle) is a square,

Area of the square is 3.1x 3.1
=9.61

Now that you have found Cross Sectional Area(9.61), multiply it by the length which is 3.1

Answer: 9.61 x 3.1=29.791

Final answer= 29.791

YALL I NEED HELP ATLEAST ONE OF THE QUESTIONS

Answers

Answer:

this is your exam question so you ha e to do by urself'

Step-by-step explanation:

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