# How do you find the solution of the system of equations 3x -2y =5 and -6x + 4y = 7?

May 3, 2015

In this way:

$3 x - 2 y = 5$

$- 6 x + 4 y = 7$

But the second equation can be written in this way, dividing for $- 2$:

$3 x - 2 y = - \frac{7}{2}$, and we can notice that the two equations have the first member identical, BUT the second is different!

So the system is impossilble (no solution).