Question

find the solution of the system of equations.
$7x - 7y = 7$
$-4x - 7y = -26$

Explanation:

Step1: Subtract equations to eliminate $y$

$(7x - 7y) - (-4x - 7y) = 7 - (-26)$
Simplify: $7x -7y +4x +7y = 7 +26$
$11x = 33$

Step2: Solve for $x$

$x = \frac{33}{11} = 3$

Step3: Substitute $x=3$ into first equation

$7(3) -7y =7$
$21 -7y =7$

Step4: Solve for $y$

$-7y =7 -21$
$-7y = -14$
$y = \frac{-14}{-7} = 2$

Answer:

$x=3$, $y=2$