Question

solve the system of equations.

y=6x−13

y=x+32

x =

y =

Explanation:

Step1: Set equations equal

Since \( y = 6x - 13 \) and \( y = x + 32 \), set \( 6x - 13 = x + 32 \).

Step2: Solve for x

Subtract \( x \) from both sides: \( 5x - 13 = 32 \).
Add 13 to both sides: \( 5x = 45 \).
Divide by 5: \( x = 9 \).

Step3: Find y

Substitute \( x = 9 \) into \( y = x + 32 \): \( y = 9 + 32 = 41 \).

Answer:

\( x = 9 \)
\( y = 41 \)