How do you solve the system y=2x-2 and y=x+2 using substitution?

1 Answer
John D.
Mar 19, 2017

The solution is (4, 6).

Explanation:

Using substitution in this case means plugging in x+2 for y (for example), since they are stated to be equal.

y = 2x-2 color(white)"X" & color(white)"X" y = x+2

Therefore, 2x-2 = x+2
color(white)"XXXXXXX-X" 2x = x+4
color(white)"XXXXXXXXX" x = 4

Now we know that x=4, so plug in x to one of the equations in order to find y.

y = x+2
y = 4+2
y = 6

So, the solution is (4, 6).

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