Question

Please HELP!!! What is the justification for the step taken from line 2 to line 3?

the subtraction property of equality
the multiplication property of equality
combining like terms on one side of the equation
the division property of equality

Answer 1

the subtraction property of equality

Answer 2

A. The subtraction property of equality

Explanation:

We have to find the rule applied to obtain line 3 from line 2.

Now, line 2 is -4x + 9 = 2x + 10 and line 3 is -6x + 9 = 10.

We can see that the only possible way to get line 3 from line 2 is by subtracting 2x from both the sides.

i.e. -2x - 4x + 9 = -2x + 2x + 10

i.e. -6x + 9 = 10

Hence, the subtraction property of equality is the justification for getting line 3 from line 2.