# How do you solve 3x+2y= -19 & x-12y=19?

Jan 31, 2016

X=-5 y=-2

#### Explanation:

Here,
$3 x + 2 y = - 19. . . . . . \left(1\right)$
$x - 12 y = 19. . . . . . . \left(2\right)$

now, lets multiply equation (2) by 3 and substract from (1),
$\left(1\right) - 3 \times \left(2\right) \implies$
$\cancel{3 x} + 2 y = - 19$
$\cancel{3 x} - 36 y = 57$
${_}_{_} {_}_{_}$
$38 y = - 76$
$\mathmr{and} , y = - 2$

now, by putting the value y=-2 in equation (1) we find,
$3 x + 2 \left(- 2\right) = - 19$
$\mathmr{and} , 3 x - 4 = - 19$
$\mathmr{and} , 3 x = - 15$
$\mathmr{and} , x = - 5$
so, x=-2, y=-5