# What is the value of the y variable in the solution to the following system of equation 3x − 6y = 3 and 7x − 5y = −11?

Apr 22, 2015

Multiply each equation by an appropriate amount so that that $x$ coefficients are equal, then subtract, and simplify.

(a) $3 x - 6 y = 3$
(b) $7 x - 5 y = - 11$

(c) = (a)x7
$21 x - 42 y = 21$

(d) = (b)x3
$21 x - 15 y = - 33$

(e) = (c) - (d)
$- 27 y = 54$

(f) = (e)/(-27)
$y = - 2$