Solve the problem.
-$$\left\{ \begin{array} { l }
x - 6 = y \
y + 8 = x
\end{array} \right.$$
A) no solution; $\varnothing$
B) $\{ ( 8,6 ) \}$
C) $\{ ( 6,8 ) \}$
D) infinitely many solutions; $\{ ( x , y ) \mid x - 6 = y \}$ or $\{ ( x , y ) \mid y + 8 = x \}$

Question

Solve the problem.
-$$\left\{ \begin{array} { l } 
x - 6 = y \
y + 8 = x
\end{array} \right.$$
A) no solution; $\varnothing$
B) $\{ ( 8,6 ) \}$
C) $\{ ( 6,8 ) \}$
D) infinitely many solutions; $\{ ( x , y ) \mid x - 6 = y \}$ or $\{ ( x , y ) \mid y + 8 = x \}$

Quizplus · Accepted Answer

Substituting the first equation into the second gives a contradiction, indicating no solution exists.

Solve the Problem {x−6=yy+8=x\left\{ \begin{array} { l } x - 6 = y \\y + 8 = x\end{array} \right.{x−6=yy+8=x​

Solve the Problem $\left\{ \begin{array} { l } x - 6 = y \\y + 8 = x\end{array} \right.$