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2+1/5b=3/10b
Solve for b

1 Answer

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Final answer:

The solution to the equation 2 + 1/5b = 3/10b is b = 20.

This is done by first combining like terms, finding a common denominator for the fractions, and then isolating b by multiplying both sides by 10.

Step-by-step explanation:

To solve for b in the equation 2 + ​​​1/5b = 3/10b, the steps are as follows:

  • Combine like terms with variable b on one side of the equation.
  • Subtract 1/5b from both sides to get all the b terms on one side.
  • 2 = 3/10b - 1/5b
  • Find a common denominator for the fractions on the right side of the equation.
  • In this case, multiply the second term by 2/2 to get the same denominator.
  • 2 = 3/10b - 2/10b
  • Simplify the right side of the equation by combining the terms: 2 = 1/10b.
  • Multiply both sides of the equation by 10 to isolate b.
  • b = 20
User Morgan Feeney
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