Question

The system of equations is graphed on the coordinate plane.

y=-5/3x+3
y=1/3x - 3
Enter the coordinates of the solution to the system of equations
in the boxes.

Answer 1

Answer: The solution is (3, -2)

This means that x = 3 and y = -2 pair up together.

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Step-by-step explanation:

The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).

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As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation

y = (-5/3)x + 3

y = (-5/3)*3 + 3

y = -5+3

y = -2

The first equation is confirmed. Let's check the second equation

y = (1/3)x - 3

y = (1/3)*3 - 3

y = 1 - 3

y = -2

Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.