Question

solve the following system of equations.\\
$-9x - 8y = -25$\\
$6x + 5y = 19$

Explanation:

Step1: Eliminate x by scaling equations

Multiply the first equation by 2: $-18x - 16y = -50$
Multiply the second equation by 3: $18x + 15y = 57$

Step2: Add the two new equations

$(-18x - 16y) + (18x + 15y) = -50 + 57$
Simplify: $-y = 7$ → $y = -7$

Step3: Substitute y into second equation

$6x + 5(-7) = 19$
$6x - 35 = 19$
$6x = 54$ → $x = 9$

Answer:

$x = 9$, $y = -7$