Question

A system 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)

Answer 1

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)

Answer 2

The best estimate would be (1,4)