# How do you solve the system of linear equations 3x - 2y = 6 and  -6x + 4y = -12?

Jun 2, 2018

There is no (single) solution

#### Explanation:

The second equation: $- 6 x + 4 y = - 12$
is simply the first equation: $3 x - 2 y = 6$
multiplied by $\left(- 2\right)$.

Both form represent the same line (if you think about it in terms of graphs).

The infinite collection of points $\left(x , y\right)$ which are of the form $\left(x , \frac{3 x + 6}{2}\right)$ (for all values of $x$) is the solution set.