Question

solve the system by substitution.
$2x - y = 39$
$-6y = x$
answer attempt 1 out of 3
(\square, \square) submit answer

Explanation:

Step1: Substitute \( x = -6y \) into the first equation

We have the first equation \( 2x - y = 39 \) and \( x = -6y \). Substitute \( x \) in the first equation:
\( 2(-6y) - y = 39 \)

Step2: Simplify and solve for \( y \)

Simplify the left - hand side: \( -12y - y = 39 \), which combines to \( -13y = 39 \).
Divide both sides by - 13: \( y=\frac{39}{-13}=-3 \)

Step3: Solve for \( x \) using \( x = -6y \)

Substitute \( y = - 3 \) into \( x=-6y \): \( x=-6\times(-3)=18 \)

Answer:

\((18, - 3)\)