# How do you solve by substitution y = 3x - 7 and 6x - 2y = 12?

Jun 7, 2015

We know that $\textcolor{red}{y = 3 x - 7}$

Thus :

$6 x - 2 \textcolor{red}{y} = 12$
6x-2color(red)((3x-7)=12
$\cancel{6 x} - \cancel{6 x} + 14 = 12$
$14 = 12$

Nonsense.
There is thus no solution to this equation.