Solve the system by the addition method.
\[
\begin{array}{l}
3 x-5 y=11 \\
2 x+4 y=0
\end{array}
\]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is \{\} . (Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution.
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Answer
Thus, the solution to the system of equations is \(\boxed{(2, -1)}\)
Step 1 ：Given the system of equations: \(3x - 5y = 11\) and \(2x + 4y = 0\)
Step 2 ：We can eliminate one of the variables by multiplying the second equation by 1.5 and then adding the two equations together. This will give us a new equation in terms of x.
Step 3 ：Solving the new equation, we find that \(x = 2\)
Step 4 ：Substituting \(x = 2\) back into one of the original equations, we can solve for y. Doing this, we find that \(y = -1\)
Step 5 ：Thus, the solution to the system of equations is \(\boxed{(2, -1)}\)
