Question

solve using elimination.
5x + 6y = 7
-6x - 5y = 7
(\boxed{\quad}, \boxed{\quad})
submit

Explanation:

Step1: Eliminate x by scaling equations

Multiply first equation by 6: $30x + 36y = 42$
Multiply second equation by 5: $-30x - 25y = 35$

Step2: Add equations to solve for y

$(30x - 30x) + (36y - 25y) = 42 + 35$
$11y = 77$
$y = 7$

Step3: Substitute y=7 into first equation

$5x + 6(7) = 7$
$5x + 42 = 7$
$5x = -35$
$x = -7$

Answer:

(-7, 7)