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How do I verify that the answers I arrived at are correct?

Here is an example of solving the system of equations

Find the values of x and y that solve the system of equations
5x-4y=-14
-7x+5y=22

1) 5x-4y=-14
2) -7x+5y=22

If we multiply the first equation by five and the second by four, we get

25x -20y = -70
-28x +20y = 88

Adding these two equations together, we get

-3x = 18

x = -6

and we can use any equation to get y = -4.

Final result is x = -6, and y = -4.

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Solution Summary

By substituting the values for the solutions to the original equation, the correctness of the answers is verified.

Solution Preview

To verify that you have the correct solutions, you need to substitute the values of x and y to the original equations.

so in this system, ...

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