Solve the system of equations by the substitution method.
-$\left\{ \begin{aligned}
- 3 x - 5 y & = - 112 \
x & = 3 y
\end{aligned} \right.$
A)(8, 24)
B)(24, 8)
C)infinite number of solutions
D)no solution

Question

Quizplus · Accepted Answer

Substitute $x = 3y$ into the first equation: $-3(3y) - 5y = -112$. Simplify to $-9y - 5y = -112$, which gives $-14y = -112$. Solving for $y$ gives $y = 8$. Substitute back to find $x = 3(8) = 24$. Thus, the solution is (24, 8).

Solve the System of Equations by the Substitution Method {−3x−5y=−112x=3y\left\{ \begin{aligned}- 3 x - 5 y & = - 112 \\x & = 3 y\end{aligned} \right.{−3x−5yx​=−112=3y​

Solve the System of Equations by the Substitution Method $\left\{ \begin{aligned}- 3 x - 5 y & = - 112 \\x & = 3 y\end{aligned} \right.$