Question

Select the ordered pair that is a solution of the system of linear equations. y=2x−2 y=−x+4 (1,2) (2,1) (1,1) (2,2)

Answer 1

To find the solution, you can either plug in the points into each equation, or you can do this:

y = 2x - 2

y = -x + 4

Set the two equations equal to each other

2x - 2 = -x + 4      Add 2 on both sides

2x = -x + 6         Add x on both sides

3x = 6        Divide 3 on both sides

x = 2

Now that you know x, you can plug in 2 for x in either of the equations to find y:

y = -x + 4

y = -2 + 4

y = 2

(2,2)

[when you plug (2,2) into each equation]

y = 2x - 2

2 = 2(2) - 2

2 = 4 - 2

2 = 2

y = -x + 4

2 = -2 + 4

2 = 2