Solve by Substitution
\[
\left\{\begin{array}{l}
-6 x+4 y=-22 \\
-7 x+y=-11
\end{array}\right.
\]
No solution
Infinite number of solutions
Answer
Final Answer: The solution to the system of equations is \(\boxed{x = 1, y = -4}\)
Step 1 ：The system of equations is given as: \[\left\{\begin{array}{l} -6 x+4 y=-22 \\ -7 x+y=-11 \end{array}\right.\]
Step 2 ：First, we solve the second equation for y: \[y = 7x - 11\]
Step 3 ：Then, we substitute this into the first equation to solve for x: \[-6x + 4(7x - 11) = -22\] which simplifies to \[22x - 44 = -22\]
Step 4 ：Solving this equation gives us the value of x: \[x = 1\]
Step 5 ：Substituting x = 1 back into the second equation, we can solve for y: \[-7(1) + y = -11\] which simplifies to \[y = -4\]
Step 6 ：Final Answer: The solution to the system of equations is \(\boxed{x = 1, y = -4}\)
