Question

what is the solution for the following system of equations?
$x = -y$
$x + 2y = 6$
$(-2, 2)$
$(6, -6)$
$(-6, 6)$
$(2, -2)$

Explanation:

Step1: Substitute $x=-y$ into 2nd equation

$(-y) + 2y = 6$

Step2: Simplify to solve for $y$

$y = 6$

Step3: Substitute $y=6$ into $x=-y$

$x = -6$

Step4: State the solution pair

$(x,y)=(-6,6)$

Answer:

$(-6, 6)$