Question

Question 2(Multiple Choice Worth 5 points) When solving negative one over three (x − 15) = −4, what is the correct sequence of operations? Multiply each side by negative one over three , subtract 15 from each side Multiply each side by −3, add 15 to each side Multiply each side by negative one over three , add 15 to each side Multiply each side by 3, subtract 15 from each side

Answer 1

Multiply each side by −3, add 15 to each side

Explanation:

You have the following equation:

(-1/3)(x-15)=-4

First, multiply each side by -3

-3*(-1/3)(x-15)=-4*-3

The 3 that is multiplying cancels with the three in the denominator of the expression (-1/3) and a negative number times another negative number is positive. Then we have:

(1)(x-15)=12

x-15=12

Second, we add to each side 15:

15+x-15=12+15

Positive 15 minus 15 es zero, thus we have:

x=12+15

x=27