Question

(HELP!)

Use the elimination method to solve the system of equations, choose the correct ordered pair. x+y=9 and x-y=7

Answer 1

x+y=9
x-y=7

Sum them together (to eliminate y) and you get:
x+y+x-y=9+7
2x=16
x=8

Plug x into either of the equations and you get that y=1

Answer 2

`(8,1)`.

Explanation:

We have been given a system of equations and we are asked to solve our given system by elimination method.

`x+y=9...(1)`

`x-y=7...(2)`

Adding equation 1 and 2 we will get,

`x+x+y-y=9+7`

`2x=16`

Upon dividing both sides of our equation by 2 we will get,

`(2x)/(2)=(16)/(2)`

`x=8`

Therefore, the value of x is 8.

To solve for y we will subtract equation (2) from equation (1) as:

`x-x+y--y=9-7`

`y+y=2`

`2y=2`

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

`y=1`

Therefore, the ordered pair
`(8,1)` is the solution for our given system of equations.