Question

solve the system of equations.
y = 5x - 9
y = 3x + 7
x =
y =

Explanation:

Step1: Set equations equal

Since \( y = 5x - 9 \) and \( y = 3x + 7 \), set \( 5x - 9 = 3x + 7 \).

Step2: Solve for x

Subtract \( 3x \) from both sides: \( 2x - 9 = 7 \). Add 9 to both sides: \( 2x = 16 \). Divide by 2: \( x = 8 \).

Step3: Find y

Substitute \( x = 8 \) into \( y = 3x + 7 \): \( y = 3(8) + 7 = 24 + 7 = 31 \).

Answer:

\( x = 8 \), \( y = 31 \)