Question

solve the system by substitution.\
\\(-4x - 6y = -48\\)\
\\(y = -2x\\)\
answer attempt 1 out of 2\
(\\(\square\\),\\(\square\\)) submit answer

Explanation:

Step1: Substitute \( y = -2x \) into the first equation

We have the first equation \( -4x - 6y = -48 \). Substitute \( y = -2x \) into it:
\( -4x - 6(-2x) = -48 \)

Step2: Simplify and solve for \( x \)

Simplify the left - hand side:
\( -4x+12x=-48 \)
Combine like terms: \( 8x = - 48 \)
Divide both sides by 8: \( x=\frac{-48}{8}=-6 \)

Step3: Find the value of \( y \)

Since \( y = - 2x \) and \( x=-6 \), substitute \( x = - 6 \) into \( y=-2x \):
\( y=-2\times(-6) = 12 \)

Answer:

\((-6,12)\)