Question

find the solution of the system of equations.
$9x + 2y = -38$
$9x + 10y = 26$

Explanation:

Step1: Subtract first equation from second

$(9x + 10y) - (9x + 2y) = 26 - (-38)$
$8y = 64$

Step2: Solve for y

$y = \frac{64}{8} = 8$

Step3: Substitute y=8 into first equation

$9x + 2(8) = -38$
$9x + 16 = -38$

Step4: Solve for x

$9x = -38 - 16$
$9x = -54$
$x = \frac{-54}{9} = -6$

Answer:

$x = -6$, $y = 8$