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

1 Answer

Mar 19, 2017

The solution is (4, 6).

Explanation:

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

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

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

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

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

So, the solution is (4, 6).

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