# How do you solve -3x+5y=-10 and -3x+6y=-12?

May 14, 2018

$x = \frac{20}{3}$ and $y = 2$

#### Explanation:

Take equation $- 3 x + 6 y = - 12$ and subtract $- 3 x + 5 y = - 10$

$- 3 x + 6 y = - 12$
$- 3 x + 5 y = - 10$

$0 x + y = 2 \implies y = 2$

put $y = 2$ into the first equation

$\implies - 3 x + 5 \times 2 = - 10$

$- 3 x + 10 = - 10$

$- 3 x = - 20$

$x = \frac{20}{3}$