Question

Solve. y = -2x + 9
y = 4x - 3

Answer 1

Explanation:

It is easiest to just set both equations equal to each other and then solve for x.

Then we can plug the value we found for x back into either equation to find the corresponding y value.

This represents where on a graph the lines cross each other. At that intersection point, they would have the same x and y value.

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`-2x + 9 = 4x - 3`

Answer 2

x=2 y=5

Explanation:

Rewrite as -2x+9=4x-3. Solve for x: -2x-4x=-3-9--> -6x=-12--> x=2. Now that we know x=2, substitute x into each equation: y=-2(2)+9=-4+9=5. y=4(2)-3=8-3=5, thus making y=5