Question

solve the system by substitution.
y = -2x + 28
y = 5x

Explanation:

Step1: Substitute \( y = 5x \) into \( y=-2x + 28 \)

Since both expressions equal \( y \), we can set them equal to each other: \( 5x=-2x + 28 \)

Step2: Solve for \( x \)

Add \( 2x \) to both sides: \( 5x+2x=-2x + 2x+ 28 \), which simplifies to \( 7x = 28 \). Then divide both sides by 7: \( x=\frac{28}{7}=4 \)

Step3: Find \( y \) using \( y = 5x \)

Substitute \( x = 4 \) into \( y = 5x \): \( y=5\times4 = 20 \)

Answer:

The solution to the system is \( x = 4 \) and \( y = 20 \) (or the ordered pair \( (4,20) \))