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Solnce55 [7]
2 years ago
15

5/8 = 3/4b - 7/12 Solve for b. Show step by step please.

Mathematics
2 answers:
IrinaVladis [17]2 years ago
6 0
<u>5</u> = <u>3</u> b - <u>7</u>                   <u>7</u>
8    4      12     ← add 12 to both sides of the equation

<u>29</u> = <u>3</u> b                                                  <u>3</u>
24    4             ← divide both sides by 4  (or multiply its reciprocal)

<u>29</u> = b
18

olasank [31]2 years ago
6 0

Answer:

The value of the equation for b is \frac{29}{18}=b.

Step-by-step explanation:

Consider the provided equation.

\frac{5}{8}=\frac{3}{4}b -\frac{7}{12}

We need to solve the provided equation for b.

Add 7/12 from both side.  

\frac{5}{8}+\frac{7}{12}=\frac{3}{4}b -\frac{7}{12}+\frac{7}{12}

\frac{5}{8}+\frac{7}{12}=\frac{3}{4}b

Multiply both the sides by 4.

4\times \frac{5}{8}+4\times \frac{7}{12}=4\times \frac{3}{4}b

\frac{5}{2}+\frac{7}{3}=3b

\frac{15+14}{6}=3b

\frac{29}{6}=3b

Divide both the sides by 3.

\frac{29}{18}=b

Hence, the value of the equation for b is \frac{29}{18}=b.

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