Question

Solve the system of equations and choose the correct ordered pair. y=-2x+4 y=x-2

Answer 1

(-6, -8)

Explanation:

We have the following system of equations:

`y = 2x+4` (1)

and

`y=x-2` (2)

Set (1) = (2) since the LHS is y in both

We get

`2x + 4 = x - 2`

Subtract x from both sides:

`2x + 4 - x = x - 2 -x`

`x + 4 = -2`

Subtract 4 from both sides

`x + 4 - 4 = -2 -4`

`x = -6`

Substitute for x in Equation (2) to get

`y = -6 - 2 = -8`

So the solution is (-6, -8)