Solve using the substitution method.
-$\begin{aligned} x & +y=-5 \ y & =-5 x+3\end{aligned}$
A) $(1,-5)$
B) $(3,-15)$
C) $(2,-7)$
D) $(-7,2)$

Question

Quizplus · Accepted Answer

The second equation gives $y$ directly in terms of $x$, so we can substitute $y = -5x + 3$ into the first equation: $x + (-5x + 3) = -5$, which simplifies to $-4x + 3 = -5$. Solving for $x$, we get $x = 2$. Substituting $x = 2$ back into $y = -5x + 3$, we find $y = -5(2) + 3 = -10 + 3 = -7$. Therefore, the solution is $(2, -7)$.

Solve Using the Substitution Method x+y=−5y=−5x+3\begin{aligned} x & +y=-5 \\ y & =-5 x+3\end{aligned}xy​+y=−5=−5x+3​

Solve Using the Substitution Method $\begin{aligned} x & +y=-5 \\ y & =-5 x+3\end{aligned}$