# How do you find the solution of the system of equations -6x-7y=-34 and 2x+3y=18?

May 4, 2015

$\text{[1] } - 6 x - 7 y = - 34$
$\text{[2] } 2 x + 3 y = 18$

$\text{[3] = [2]"xx 3" } 6 x + 9 y = 54$

$\text{[4] = [1]+[3] } 2 y = 20$
$\rightarrow y = 10$

Substituting $y = 10$ back into $\text{[2]}$
$2 x + 3 \left(10\right) = 18$
$2 x = - 12$
$x = - 6$

Solution to given system of equations:
$\left(x , y\right) = \left(- 6 , 10\right)$