Asystem of equations is graphed on a coordinate plane.

which coordinates are the best estimate of the solution to the system of equations?

(6, 0)

(0, 5)

(1, 4)

(1, 5)

By the graph, it looks like (3/4, 3.5) but let's solve it:
4x+2y = 10
-2(2x+3y = 12) -->
-4x-6y = -24
+4x+2y = 10

0 + -4y = -14
-4y = -14
-4y/-4 = -14/-4
y = 7/2 = 3.33
4x+2y = 10
4x+2(7/2) = 10
4x+7 = 10
4x = 3
x = 3/4 = 0.75
So the solution is at (0.75, 3.33)
closest is C) (1, 4)