Consider the following system of linear equations:

Let us solve this system by elimination.

We convert one of the equations into an equivalent equation of a form such that addition of the two equations will eliminate one of the variables.

Notice that the coefficient of y in the first equation, 1, is a factor of the coefficient of y in the second equation.

If we multiply both sides of the first equation by 2 and add the two equations, this will eliminate the y-variable.

Now add these two equations.

Divide both sides by 8.