Question

y = 5x\
y = -x + 30

Explanation:

Step1: Set the two equations equal

Since both equal \( y \), we set \( 5x = -x + 30 \).

Step2: Solve for \( x \)

Add \( x \) to both sides: \( 5x + x = 30 \), so \( 6x = 30 \). Then divide by 6: \( x = \frac{30}{6} = 5 \).

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

Substitute \( x = 5 \) into \( y = 5x \): \( y = 5\times5 = 25 \).

Answer:

The solution to the system is \( x = 5 \), \( y = 25 \) (or the ordered pair \( (5, 25) \)).