Solve by the substitution method.
-$$\begin{array} { l }
x + 6 y = - 1 \
7 x + 7 y = - 7
\end{array}$$
A) $( - 1,0 )$
B) $( 0 , - 1 )$
C) $( 1 , - 1 )$
D) No solution

Question

Solve by the substitution method.
-$$\begin{array} { l } 
x + 6 y = - 1 \
7 x + 7 y = - 7
\end{array}$$
A) $( - 1,0 )$
B) $( 0 , - 1 )$
C) $( 1 , - 1 )$
D) No solution

Quizplus · Accepted Answer

To solve by substitution, first solve one of the equations for one variable in terms of the other. From the first equation, $x = -1 - 6y$. Substitute this expression for $x$ in the second equation: $7(-1 - 6y) + 7y = -7$. Simplify to find $y$, then substitute $y$ back into one of the original equations to find $x$. Solving gives $x = -1$ and $y = 0$, which corresponds to choice A.

Solve by the Substitution Method x+6y=−17x+7y=−7\begin{array} { l } x + 6 y = - 1 \\7 x + 7 y = - 7\end{array}x+6y=−17x+7y=−7​

Solve by the Substitution Method $\begin{array} { l } x + 6 y = - 1 \\7 x + 7 y = - 7\end{array}$