Question

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

Explanation:

Step1: Identify substituted variable

We know $x = -6y$ from the second equation.

Step2: Substitute into first equation

Substitute $x=-6y$ into $2x - y = 39$:
$2(-6y) - y = 39$

Step3: Simplify and solve for $y$

Calculate and combine like terms:
$-12y - y = 39$
$-13y = 39$
$y = \frac{39}{-13} = -3$

Step4: Solve for $x$

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

Answer:

$(-18, 3)$