Question

Linear equation: -1 2 (6x + 10) = 13 Step 1: –3x – 5 = 13 Step 2: –3x = 18 Step 3: x = –6 Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation? the addition property of equality and then the division property of equality the addition property of equality and then the multiplication property of equality the subtraction property of equality and then the division property of equality the subtraction property of equality and then the multiplication property of equality

Answer 1

Answer:

  (A)  the addition property of equality and then the division property of equality

Step-by-step explanation:

To get from Step 1 to Step 2, we have added 5 to both sides of the equation:

  -3x -5 +5 = 13 +5

  -3x = 18

To get from Step 2 to Step 3, we have divided both sides of the equation by -3:

  -3x/-3 = 18/-3

  x = -6

These operations can be described as ...

  the addition property of equality and then the division property of equality

__

However, since addition and subtraction are the same thing, but with opposite numbers, and since multiplication and division are the same thing, but with reciprocal numbers, any of the answer choices is arguably correct.

  (add 5, divide by -3) = (add 5, multiply by -1/3) =

  (subtract -5, divide by -3) = (subtract -5, multiply by -1/3)