Question

solve the following system of equations by substitution.
y = 5x
x + y = 12
write the solution as an ordered pair.

Explanation:

Step1: Substitute \( y = 5x \) into \( x + y = 12 \)

We know \( y = 5x \), so replace \( y \) in the second equation with \( 5x \). The equation becomes \( x + 5x = 12 \).

Step2: Solve for \( x \)

Combine like terms: \( 6x = 12 \). Then divide both sides by 6: \( x = \frac{12}{6} = 2 \).

Step3: Find \( y \) using \( y = 5x \)

Substitute \( x = 2 \) into \( y = 5x \), so \( y = 5\times2 = 10 \).

Answer:

\((2, 10)\)