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

Question

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

Explanation:

Step1: Substitute \( y = 9x \) into \( y = 3x + 24 \)

Since both equations equal \( y \), we can set them equal to each other: \( 9x = 3x + 24 \)

Step2: Solve for \( x \)

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

Step3: Solve for \( y \)

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

Answer:

\( x = 4 \)
\( y = 36 \)