Question

Solve by the elimination method.
`4x+8y=40\\-4x+y=14`

Answer 1

`x=-2,y=6`

Explanation:

We can add these 2 equations together to eliminate
`x` from the equation, leaving us to solve for
`y`.

`(4x+8y) + (-4x+y) = (40) + (14)\\9y = 54\\\boxed{y = 6}`

Now we can solve for
`x` through substituting
`y`.

`4x+8y=40\\4x+8(6)=40\\4x+48=40\\4x=-8\\\boxed{x=-2}`

We can check our answers by substituting
`x` and
`y` into one of the equations and seeing if the equation is true.

`-4x+y=14\\-4(-2)+6=14\\8+6=14\\14=14`

LHS = RHS so our answers are correct.