The system of equations shown below is graphed on a coordinate grid:

4y + x = 4
2y − x = 8

Which statement is true about the coordinates of the point that is the solution to the system of equations?

It is (2, 5) and lies on both lines.
It is (−4, 2) and lies on both lines.
It is (2, 5) and does not lie on either line.
It is (−4, 2) and does not lie on either line.

Question

The system of equations shown below is graphed on a coordinate grid:

4y + x = 4
2y − x = 8

Which statement is true about the coordinates of the point that is the solution to the system of equations?

 It is (2, 5) and lies on both lines.
 It is (−4, 2) and lies on both lines.
 It is (2, 5) and does not lie on either line.
 It is (−4, 2) and does not lie on either line.

anonymous · Answer

Plug the points in and work them out. For  instance

Let suse the first one (2,5) = (x,y)

4(5) + 2 = 4    <---- Is this true? does it workout to 4=4?
2(5) − 2 = 8   <--- is this true? Does it 8 = 8

If both equations are true then that is your point