Question

solve using substitution.
-5x + 8y = -17
x = -3
(□, □)

Explanation:

Step1: Substitute \( x = -3 \) into the first equation

We have the equation \( -5x + 8y = -17 \). Substitute \( x = -3 \) into this equation:
\( -5(-3) + 8y = -17 \)

Step2: Simplify the left - hand side

First, calculate \( -5(-3) \). According to the rule of multiplying two negative numbers, \( -5\times(-3)=15 \). So the equation becomes:
\( 15 + 8y = -17 \)

Step3: Solve for \( y \)

Subtract 15 from both sides of the equation:
\( 8y=-17 - 15 \)
Calculate the right - hand side: \( -17-15=-32 \), so \( 8y=-32 \)
Divide both sides by 8: \( y=\frac{-32}{8}=-4 \)

Answer:

\((-3, - 4)\)