Solve by substitution: $$\begin{array} { l }
5 x - 5 y = - 5 \
4 x + 2 y = 20
\end{array}$$
A) (13, 14)
B) (8, 9)
C) (3, 4)
D) Dependent
E) No solution

Question

Solve by substitution: $$\begin{array} { l } 
5 x - 5 y = - 5 \
4 x + 2 y = 20
\end{array}$$
A) (13, 14)
B) (8, 9)
C) (3, 4)
D) Dependent
E) No solution

Quizplus · Accepted Answer

Solving the first equation for $x$ gives $x = y - 1$. Substituting $x = y - 1$ into the second equation yields $4(y - 1) + 2y = 20$, which simplifies to $6y = 24$, giving $y = 4$. Substituting $y = 4$ back into $x = y - 1$ gives $x = 3$. Therefore, the solution is $(3, 4)$.

Solve by Substitution 5x−5y=−54x+2y=20\begin{array} { l } 5 x - 5 y = - 5 \\4 x + 2 y = 20\end{array}5x−5y=−54x+2y=20​

Solve by Substitution $\begin{array} { l } 5 x - 5 y = - 5 \\4 x + 2 y = 20\end{array}$