Consider this system of linear equations:22x − y = -23 (equation 1)11x + 12y = 1 (equation 2)

To solve this problem you must apply the proccedure shown below:

 1. You have the folllowing system of equations given in the problem above:

 22x − y = -23 (equation 1)
 11x + 12y = 1 (equation 2)

 2. If you multiply the equation 2 by -2, and then sum the equation 1+equation 2, you obtain:

 -25y=-25
 y=1

 3. Then, you must substitute y=1 into the equation 1, then you have:

 x=-1

 4. As you can see, when you solve it, the solutions are:

 x=-1
 y=1