10 PTS, Algebra - Easy

Explain which basic moves transform the equation

6x + 2y = 15 into 0 = 15 - 6x - 2y

If you would like to transform the equation 6*x + 2*y = 15 into the equation 0 = 15 - 6*x - 2*y, you have to do two following steps or you can do this at the same time (and you have to do just one step).

First, you have to subtract 6*x from both sides of the equation:

6*x + 2*y = 15 / - 6*x

6*x + 2*y - 6*x = 15 - 6*x

2*y = 15 - 6*x

Second, you have to subtract 2*y from both sides of the equation:

2*y = 15 - 6*x / - 2*y

2*y - 2*y = 15 - 6*x - 2*y

The result:

0 = 15 - 6*x - 2*y

6x + 2y = 15

Subtract 6x on both sides.

2y = 15 - 6x

Next, subtract 2y on both sides.

0 = 15 - 6x - 2y

The two basic moves that we did were subtraction.