Which is the graph of the system of equations?

x + 2y = 2

4x - y = 4

Solve for x for x: x+2y=2

x+2y + -2y=2+-2y (add - 2y on both sides.)

x=-2y+2

Substitute : - 2y+2 for x in

4x-y=4:

4 (-2y+2) - y=4

-9y+8=4 Simplify both sides of the equation.

-9y+8+-8=4+-8 Add - 8 to both sides.

-9y=-4

-9/-9=-4-9 Divide both sides by - 9

y=4/9

Substitute 4/9 for y in

x=-2y+2

x=-2 (4/9) + 2

x=10/9

y=4/9, x=10/9