22a-3c=-6 a+2c=11 WHAT IS THE SOLUTION (a, c) to this system of linear equations?

The solution (a,c) is (0.46, 5.27)

Explanation:

Let's write down the system

To solve this system we are going to use the method of reduction, we are going to multiply the second equation by -22 so that our a's disappear when we sum up the equations.

Multiplying by -22 we get:

Now if we sum up both equations we have:

Now we substitute c in our second equation:

Thus, the solution (a,c) is (0.46, 5.27)