Question

The graph below shows a system of equations:

The x-coordinate of the solution to the system of equations is __________.

Answer 1

3y = -2x + 2
y = x + 4 (Substitute the y)

3(x + 4) = -2x + 2 (Distribute)
3x + 12 = -2x + 2 (Add 3 to both sides)
+3x +3x
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12 = 1x + 2 (Subtract 2 from both sides)
-2 - 2
------------------------
10 = 1x (Divide by 1 on both sides)
10/1 = 1x/1
x = 10
This is your x-coordinate

Answer 2

Answer: -2

Explanation:

We know that if system of two linear equations plotted on the graph, then the intersection point of the two lines represents the solution to the system of equations.

From the given graph , we can see that the intersection point of the two lines is at point (-2,2).

Thus, the solution to the given system of equation = (-2,2)

Therefore, the x-coordinate of the solution to the system of equations is -2.