Question

How do you solve the system using the elimination method for y=3-4x and -3x-y=2?

Answer 1

`(x,y) = (5,-17)`
`color(white)("XXXX")` `color(white)("XXXX")`(using the elimination method)

Explanation:

[1]`color(white)("XXXX")` `y=3-4x`
[2]`color(white)("XXXX")` `-3x-y=2`

Re-write [1] in standard form
[3]`color(white)("XXXX")` `4x+y = 3`

Add [2] and [3] (eliminating `y`)
[4]`color(white)("XXXX")` `x = 5`

Substitute `5` for `x` [1]
[5]`color(white)("XXXX")` `y = 3 - 4(5)`

Simplify
[6]`color(white)("XXXX")` `x = -17`