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Use elimination to solve each system of equation.

3x+7y=23x−4y=13

Short Answer

Expert verified

The solution of the given system of equations is (3,−1).

Step by step solution

01

Step 1. Write the given system of equations.

The given system of equations is:

3x+7y=2....(1)3x−4y=13....(2)

02

Step 2. Solve the given system of equations.

Subtract the equation (2) from equation (1) to eliminate the variable x.

3x+7y=23x−4y=13−+−¯11y=−11y=−1111y=−1

The value yof is -1.

Substitute -1fory in the equation (1) to find the value of x.

3x+7y=23x+7(−1)=23x−7=23x=2+73x=9x=93x=3

The valuexof is 3.

Therefore, the solution of the given system of equations is (3,−1).

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