How do you solve the simultaneous equations $y - 3x = 2$ and $3x + 2y = -14$ ?

Question

4288 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-27T11:55:52

The solution for the system of equations is:
$color(blue)(x=-2, y =-4$

$y−3x=2$
$y=color(blue)(2+3x$ ..............equation $(1)$

$3x+2y=−14$ .....equation $(2)$

Solving by substitution
Substituting equation $1$ in equation $2$

$3x+2y=−14$

$3x+2(color(blue)(2+3x))=−14$

$3x+4+6x=−14$

$9x=−14-4$

$9x=-18$
$color(blue)(x=-2$

Substituting $x$ in equation $1$ to find $y$
$y=2+3x$
$y=2+3(-2)$
$y=2-6$
$color(blue)(y=-4$

How do you solve the simultaneous equations y - 3x = 2y - 3x = 2 and 3x + 2y = -143x + 2y = -14?