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Viktor [21]
2 years ago
10

2/3 b + 5 =20 - b solve for b

Mathematics
2 answers:
Alborosie2 years ago
8 0

Answer:

b = 9

Step-by-step explanation:

\frac{2}{3} b + 5 = 20-b\\\frac{2}{3} b+5+b=20-b+b\\\frac{5}{3} b+5=20\\\frac{5}{3} b+5-5=20-5\\\frac{5}{3}b=15\\b= 15*\frac{3}{5} \\b= 9

Wittaler [7]2 years ago
4 0

Answer:

b = 9

Step-by-step explanation:

\frac{2}{3} b + 5 = 20 - b

In order to solve for b, we must isolate the variable. We can start by subtracting 5 from both sides.

\frac{2}{3} b + 5 - 5 = 20 - b - 5

Simplify.

\frac{2}{3} b = 15 - b

Add b to both sides.

\frac{2}{3} b + b = 15 - b + b

Simplify.

\frac{2}{3} b + b = 15

Multiply everything by 3 to remove the fractions.

3(\frac{2}{3}b+b) = 3(15)

Simplify.

2b + 3b = 45

Simplify.

5b = 45

Divide 5 from both sides.

5b ÷ 5 = 45 ÷ 5

Simplify.

b = 9

For more information on solving variables, check out the following answers!

  • brainly.com/question/633344
  • brainly.com/question/1267151
  • brainly.com/question/4207498
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