Question

solve the system by substitution.
y = -3x - 4
4x + 3y = -2
the solution is (\square, \square ).

Explanation:

Step1: Substitute \( y \) into the second equation

We know \( y = -3x - 4 \), substitute this into \( 4x + 3y = -2 \). So we get \( 4x + 3(-3x - 4) = -2 \).

Step2: Simplify and solve for \( x \)

Expand the equation: \( 4x - 9x - 12 = -2 \). Combine like terms: \( -5x - 12 = -2 \). Add 12 to both sides: \( -5x = 10 \). Divide by -5: \( x = -2 \).

Step3: Substitute \( x \) back to find \( y \)

Substitute \( x = -2 \) into \( y = -3x - 4 \). So \( y = -3(-2) - 4 = 6 - 4 = 2 \).

Answer:

\((-2, 2)\)