1

Problem

Find the value of s if the equation is \$(17)/4 - 5/8 s = 21.9 - 10.9\$.

2

Step

The given equation

\$(17)/4 - 5/8 s = 21.9 - 10.9\$

3

Step

First, let’s simplify the right side of the equation:

\$(17)/4 - 5/8 s = 11\$

4

Step

Multiply both sides of the equation by 8 to clear the fractions with denominators 8 and 4

\$ 8 times ((17)/4 - 5/8 s) = 11 times 8\$

\$ 8 times (17)/4 - 8 time 5/8 s = 11 times 8\$

5

Step

After simplification

34 - 5s = 88

6

Step

Subtract 34 from both sides:

34 - 5s - 34 = 88 - 34

-5s = 54

7

Step

Divide - 5 on both side then we get s value

\$ ( (- 5)s)/(-5) = (54)/(- 5) \$

\$ s = (- 54)/5 = - 10.8 \$

8

Solution

So, the value of s is -10.8.

9

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

10

Choice-A

This value is incorrect. If we substitute -11.2 for s in the equation, the left side will not equal the right side

Wrong -11.2

11

Choice-B

This value is also incorrect. Plugging in 14.6 for s will not balance the equation

Wrong 15

12

Choice-C

This is the correct value. When we substitute -10.8 for s in the equation, both sides of the equation become equal

Correct -10.8

13

Choice-D

This value is incorrect. Substituting 5.3 for s will not result in a true equation

Wrong 5

14

Step

Option

C

15

Sumup

Please Summarize Choices