Question

solve using elimination.
2x + y = -13
-3x + 2y = -12
(□, □)
submit

Explanation:

Step1: Eliminate y by scaling equations

Multiply first equation by 2: $4x + 2y = -26$
Second equation: $-3x + 2y = -12$

Step2: Subtract equations to find x

$(4x + 2y) - (-3x + 2y) = -26 - (-12)$
$7x = -14$
$x = -2$

Step3: Substitute x into first equation for y

$2(-2) + y = -13$
$-4 + y = -13$
$y = -9$

Answer:

(-2, -9)