Question

Question 10 of 21

1 Point
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
10x +2y = 64
3x - 4y = -36
A. (4,12)
B. (-3, 11)
C. (2,10)
D. (-5, 8)​

Answer 1

A. (4,12)

Step-by-step explanation

The equations are:

`10x +2y = 64...(1)`

and

`3x - 4y = -36...(2)`

To eliminate a variable we make the coefficients of that variable the same in both equations.

It is easier to eliminate x.

We multiply the first equation by 2 to get:

`20x + 4y = 128...(3)`

We add equations (2) and (3).

`3x + 20x + 4y - 4y = - 36 + 128`

`23x = 92`

Divide both sides by 23

`(23x)/(23) = (92)/(23)`

`x = 4`

Put x=4 into equation (1).

`10(4)+2y = 64`

`40+2y = 64`

`2y = 64 - 40`

`2y = 24`

`(2y)/(2) = (24)/(2)`

`y = 12`

The solution is (4,12)