# How do you solve the system of equations by using substitution: y = x + 5 and y = 2x - 7?

##### 1 Answer

May 18, 2016

Solve the first equation for x, substitute into the second equation, and get the answer of

#### Explanation:

To solve using substitution, we'll take one of the equations (the first one - it's a very simple one), solve for x, and then substitute it into the second one.

So let's first take

And now we can substitute that into the 2nd equation:

and let's simplify

We can now substitute the y value back into the given equations and find the x value:

And we're done!