Question

elimination method
(show your work)
1x+2y=-2
-3x+2y=-10
solution (□,□)

Explanation:

Step1: Subtract equations to eliminate $y$

$(x + 2y) - (-3x + 2y) = -2 - (-10)$
$x + 2y + 3x - 2y = -2 + 10$
$4x = 8$

Step2: Solve for $x$

$x = \frac{8}{4} = 2$

Step3: Substitute $x=2$ into first equation

$2 + 2y = -2$

Step4: Solve for $y$

$2y = -2 - 2$
$2y = -4$
$y = \frac{-4}{2} = -2$

Answer:

$(2, -2)$