Question

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solve the system by substitution.
$3x - 2y = -1$
$y = 5x + 4$
answer attempt 1 out of 2
(□,□) submit answer

Explanation:

Step1: Substitute \( y = 5x + 4 \) into \( 3x - 2y = -1 \)

We replace \( y \) in the first equation with the expression from the second equation. So we get \( 3x - 2(5x + 4) = -1 \).

Step2: Simplify the equation

First, distribute the -2: \( 3x - 10x - 8 = -1 \). Then combine like terms: \( -7x - 8 = -1 \).

Step3: Solve for \( x \)

Add 8 to both sides: \( -7x = -1 + 8 \), which simplifies to \( -7x = 7 \). Then divide both sides by -7: \( x = \frac{7}{-7} = -1 \).

Step4: Substitute \( x = -1 \) back into \( y = 5x + 4 \)

We get \( y = 5(-1) + 4 \).

Step5: Solve for \( y \)

Calculate \( 5(-1) + 4 = -5 + 4 = -1 \).

Answer:

\((-1, -1)\)