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The equation y = -2x + 6 is plotted on the graph. If you plot y = 2x - 2 on the same graph, identify the...

The equation y = -2x + 6 is plotted on the graph. If you plot y = 2x - 2 on the same graph, identify the solution.

Answer

The solution is the point where the two lines intersect. To find this, set the equations equal to each other:

y = -2x + 6
y = 2x - 2

Set -2x + 6 = 2x - 2 and solve for x:

Add 2x to both sides: 6 = 4x - 2
Add 2 to both sides: 8 = 4x
Divide by 4: x = 2

Substitute x = 2 back into one of the equations to find y:

y = -2(2) + 6 = -4 + 6 = 2

The solution is the point (2, 2).

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