# How do you solve y=-3x+4 and  -6x-2y=-8 using substitution?

Jun 26, 2016

The two equations are the same. They represent the same line.
There are innumerable number of solutions to these system of equations.

#### Explanation:

Given -

$y = - 3 x + 4$------------------(1)
$- 6 x - 2 y = - 8$----------------(2)

Solve the second equation for $y$

$- 2 y = 6 x - 8$
$y = \frac{6}{- 2} x - \left(\frac{8}{- 2}\right)$
$y = - 3 x + 4$

The two equations are the same. They represent the same line.
There are innumerable number of solutions to these system of equations.