Solve the system of equations.
-$$\left\{ \begin{aligned}
5 x + 3 y & = - 7 \
x & = - 2 y
\end{aligned} \right.$$
A) $( 1 , - 2 )$
B) $( - 2,1 )$
C) $\{ ( x , y ) \mid 5 x + 3 y = - 7 \}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

Substitute $x = -2y$ into the first equation: $5(-2y) + 3y = -7$, which simplifies to $-10y + 3y = -7$, or $-7y = -7$. Solving for $y$ gives $y = 1$. Substituting $y = 1$ back into $x = -2y$ gives $x = -2$. Thus, the solution is $(-2, 1)$.

Solve the System of Equations {5x+3y=−7x=−2y\left\{ \begin{aligned}5 x + 3 y & = - 7 \\x & = - 2 y\end{aligned} \right.{5x+3yx​=−7=−2y​

Solve the System of Equations $\left\{ \begin{aligned}5 x + 3 y & = - 7 \\x & = - 2 y\end{aligned} \right.$