Select the proper inverse operation to check the answer to 14 + 17 = 31. a. 31 ÷ 17 = 14 b. 31 − 17 = 14 c. 14 − 17 = 31 d. 31 × 14 = 17

B. 31 − 17 = 14

Step-by-step explanation:

Given sum:  14+17=31

We know that the proper inverse operation to check the answer to a+b=c is

c-a=b or c-b=a [because subtraction operation is inverse of addition operation]

Therefore, for the given sum, the proper inverse operation to check the answer to 14+17=31 is 31 − 17 = 14 or 31 - 14 = 17

Therefore, B,. is the right answer.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3