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