How do you solve 3x + 2y = -2 and -2x - 4y = 0?

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Answer 1 · 2015-09-06T11:19:35

$x =- 1$
$y = 1/2$

$3x + 2y = -2" " " "(1)$
$- 2x - 4y = 0 " " " "(2)$

Solve equation $(2)$ for $y$

$-4y = 2x$

$y = (2x)/-4 = (-x)/2$

Substitute $y = (-x)/2$ in equation $(1)$

$3x + 2 * ((- x)/2) = - 2$

$3x - x = - 2$

$2x = - 2$

$x=(- 2)/2 = - 1$

$x = - 1$

Substitute $x = - 1$ in equation $(1)$

$3(- 1) + 2y = - 2$

$- 3 + 2y = - 2$

$2y = - 2 + 3 = 1$

$y =1/2$