Question

How do you solve the system using the elimination method for y=3x+17 and y=-2x-8?

Answer 1

Subtract the second equation from the first eliminating `y`; solve for `x`; then substitute the value for `x` back into one of the original equations to solve for `y`.
`(x,y) = (-5,2)`

Explanation:

[1]`color(white)("XXXX")` `y=3x+17`
[2]`color(white)("XXXX")` `y=-2x-8`

subtract [2] from [1]
[3]`color(white)("XXXX")` `0=5x+25`
[4]`color(white)("XXXX")` `x=-5`

substitute `(-5)` for `x` in [1]
[5]`color(white)("XXXX")` `y = 3(-5)+17`
[6]`color(white)("XXXX")` `y = 2`