Question

1. we want to solve the following system of equations using the substitution method. equation 1 $5x - 3y = -15$ equation 2 $y = -4x - 5$ 7a first solve for $x$. enter your next step here

Explanation:

Step1: Substitute \( y \) in Equation 1

Since \( y = -4x - 5 \) (Equation 2), substitute \( y \) into Equation 1 (\( 5x - 3y = -15 \)).
\( 5x - 3(-4x - 5) = -15 \)

Step2: Simplify the equation

Distribute the -3: \( 5x + 12x + 15 = -15 \)
Combine like terms: \( 17x + 15 = -15 \)
Subtract 15 from both sides: \( 17x = -15 - 15 \)
\( 17x = -30 \)

Step3: Solve for \( x \)

Divide both sides by 17: \( x = \frac{-30}{17} \)

Answer:

\( x = -\frac{30}{17} \)