# Question #577ed

Feb 18, 2017

Solve the second equation for $y$:

$10 x - 2 y = 6$

$- \textcolor{red}{10 x} + 10 x - 2 y = - \textcolor{red}{10 x} + 6$

$0 - 2 y = - 10 x + 6$

$- 2 y = - 10 x + 6$

$\frac{- 2 y}{\textcolor{red}{- 2}} = \frac{- 10 x + 6}{\textcolor{red}{- 2}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 2}}} y}{\cancel{\textcolor{red}{- 2}}} = \frac{- 10 x}{\textcolor{red}{- 2}} + \frac{6}{\textcolor{red}{- 2}}$

$y = 5 x - 3$

Because both these equations are in fact the same equation there are an infinite number of solutions for this system.