Problem

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. Get more help - Search

Solution

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 \(\boxed{(2, -1)}\)

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Source: https://solvelyapp.com/problems/f4kZDpraL4/

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