Solve by using the substitution method. $$\begin{array} { l }
- 5 x - 2 = 13 \
- 4 x + 5 y = 12
\end{array}$$
A) (-3, 0)
B) (0, 3)
C) (0, -3)
D) (3, 0)

Question

Solve by using the substitution method. $$\begin{array} { l } 
- 5 x - 2 = 13 \
- 4 x + 5 y = 12
\end{array}$$
A) (-3, 0)
B) (0, 3)
C) (0, -3)
D) (3, 0)

Quizplus · Accepted Answer

First, solve the first equation for $x$: $-5x - 2 = 13$, which simplifies to $-5x = 15$, and then $x = -3$. Substitute $x = -3$ into the second equation: $-4(-3) + 5y = 12$, which simplifies to $12 + 5y = 12$, and then $5y = 0$, so $y = 0$. Therefore, the solution is $(-3, 0)$.

Solve by Using the Substitution Method −5x−2=13−4x+5y=12\begin{array} { l } - 5 x - 2 = 13 \\- 4 x + 5 y = 12\end{array}−5x−2=13−4x+5y=12​

Solve by Using the Substitution Method $\begin{array} { l } - 5 x - 2 = 13 \\- 4 x + 5 y = 12\end{array}$