How do you solve the system of equations by using substitution: y = x + 5 and y = 2x - 7?
Solve the first equation for x, substitute into the second equation, and get the answer of
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!