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Chapter 11: Q. 9 (page 713)

Verify that the values of the variables listed are solutions of the system of equations.

3x-4y=412x-3y=-12x=2,y=12;2,12

Short Answer

Expert verified

The given values are the solutions because both equations are true for the given values.

Step by step solution

01

Step 1. Given information.

The given equations are:

3x-4y=412x-3y=-12

The given solution is x=2,y=12or 2,12.

02

Step 2. Check the solution.

If both equations are true for the given values, then the values represent the solution.

Substitute x=2,y=12in the first equation.

3(2)-412=46-2=44=4

This statement is true.

Substitute x=2,y=12in the second equation.

12(2)-312=-121-32=-12-12=-12

This statement is true.

03

Step 3. Conclusion.

The given values are the solutions because both equations are true for the given values.

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