Question

solve the system by substitution.
$x = -5y + 4$
$2x + 9y = -2$
answer attempt 1 out of 2
(\square, \square) submit answer

Explanation:

Step1: Substitute \( x = -5y + 4 \) into \( 2x + 9y = -2 \)

We replace \( x \) in the second equation with the expression from the first equation. So we get \( 2(-5y + 4) + 9y = -2 \).

Step2: Simplify the equation

First, distribute the 2: \( -10y + 8 + 9y = -2 \). Then combine like terms: \( -y + 8 = -2 \). Subtract 8 from both sides: \( -y = -2 - 8 \), which simplifies to \( -y = -10 \). Multiply both sides by -1: \( y = 10 \).

Step3: Find the value of \( x \)

Substitute \( y = 10 \) back into \( x = -5y + 4 \). So \( x = -5(10) + 4 = -50 + 4 = -46 \).

Answer:

\((-46, 10)\)