1

Problem

Find the multiplicative Inverse of x:
3x + 12 = − 5

2

Step

Let’s solve for x

3x + 12 = - 5

3

Step

To simplify the equation, subtract 12 from both sides

3x + 12 - 12 = - 5 - 12

\$ 3"x" = (- 17) \$

\$ "x" = - (17/3) \$

4

Formula

The multiplicative inverse of \$ a/b \$ = \$ b/a \$.

5

Solution

Now, the multiplicative inverse of \$- (17/3)\$ is its reciprocal: Multiplicative inverse of \$ - (17/3) = - (3/17) \$.

6

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

7

Choice-A

This is the correct choice for the multiplicative inverse of the given expression

Correct \$- (3/17)\$

8

Choice-B

This option represents the reciprocal of the correct step. It’s the inverse of \$-3/17\$, but we’re looking for the inverse of x, not the reciprocal

Wrong \$(3/17)\$

9

Choice-C

This option is equivalent to option A, but with both the numerator and denominator negated, which does not change the value. Thus, \$(-13)/(-17)\$ is the same as \$13/17\$, which is the reciprocal of the correct step

Wrong \$(-3)/(-17)\$

10

Choice-D

This option doesn’t seem to relate to the correct solution. It doesn’t correspond to the multiplicative inverse of x in the given equation

Wrong \$(-3)/(-7)\$

11

Step

Option

A

12

Sumup

Please Summarize Choices