Question

solve the system of equations.
y=6x+35
y=9x+14
x =
y =

Explanation:

Step1: Set the two equations equal

Since both equations equal \( y \), we can set them equal to each other: \( 6x + 35 = 9x + 14 \)

Step2: Solve for \( x \)

Subtract \( 6x \) from both sides: \( 35 = 3x + 14 \)
Subtract 14 from both sides: \( 21 = 3x \)
Divide by 3: \( x = 7 \)

Step3: Solve for \( y \)

Substitute \( x = 7 \) into \( y = 6x + 35 \): \( y = 6(7) + 35 = 42 + 35 = 77 \)

Answer:

\( x = 7 \)
\( y = 77 \)