How do you solve the system of equations $3x-4y=-24$ and $x+y=-1$ ?

Question

2052 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-30T12:40:34

$x=-4, y=3$

$3x-4y=-24$

$x+y=-1$

If you multiply the 2nd equation by $4$ , you get

$3x-4y=-24$

$4x+4y=-4$

If you add up those two, you get

$7x=-28 implies x=-4$

If you put $x=-4$ into one of the equations, you get

$-4 + y = -1 implies y=3$

How do you solve the system of equations 3x-4y=-243x-4y=-24 and x+y=-1x+y=-1?