Question

solve the system of equations $5x - 8y = -18$ and $-4x + 3y = -6$ by combining the equations.
$\boxed{4}\\ (5x -8y = -18)$
$\boxed{5}\\ (- 4x +3y = -6)$
$20x -32y = -72$
$-20x +15y = -30$
$\overline{\square x + \square y= \square}$ try

Explanation:

Step1: Add the two equations

$(20x - 32y) + (-20x + 15y) = -72 + (-30)$

Step2: Simplify x terms

$20x - 20x = 0$

Step3: Simplify y terms

$-32y + 15y = -17y$

Step4: Simplify constant terms

$-72 + (-30) = -102$

Answer:

$0x + (-17)y = -102$