Question

solve the system by substitution.

$y = 3x + 28$
$y = -4x$

answer attempt 2 out of 2
$(-28, 112)$ submit answer

Explanation:

Step1: Substitute \( y = -4x \) into \( y = 3x + 28 \)

Since both equations equal \( y \), we can set them equal to each other: \( -4x = 3x + 28 \)

Step2: Solve for \( x \)

Subtract \( 3x \) from both sides: \( -4x - 3x = 3x + 28 - 3x \)
Simplify: \( -7x = 28 \)
Divide both sides by \( -7 \): \( x = \frac{28}{-7} = -4 \)

Step3: Find \( y \) using \( y = -4x \)

Substitute \( x = -4 \) into \( y = -4x \): \( y = -4\times(-4) = 16 \)

Answer:

\((-4, 16)\)