Question

solve the system of equations.
$y = 9x$
$y = 3x + 24$

Explanation:

Step1: Set the two equations equal

Since both equal \( y \), set \( 9x = 3x + 24 \).

Step2: Solve for \( x \)

Subtract \( 3x \) from both sides: \( 9x - 3x = 24 \), so \( 6x = 24 \). Divide by 6: \( x = \frac{24}{6} = 4 \).

Step3: Find \( y \) using \( y = 9x \)

Substitute \( x = 4 \) into \( y = 9x \): \( y = 9(4) = 36 \).

Answer:

The solution is \( x = 4 \), \( y = 36 \) (or the ordered pair \( (4, 36) \)).