Question

Solve the following equation for b.

13b = 6b + 14

Answer 1

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`\diamond\large\textsf{\textbf{\underline{Given question:-}}}`

Solve the following equation for b.

13b=6b+14

`\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}`

❖ First of all, we need to make sure that all the variables are on one side (the left-hand side, LHS) and numbers are on the right-hand side, RHS.

Here we have variables on the right-hand side, so we can move that term to the left-hand side, making sure to use the opposite operation:-

13b=6b+14 Subtract 6b on both sides, which results in:-

7b=14 Divide by 7 on both sides, which results in:-

b=2 We've found the value of b. Now, we need to check our solution by replacing b with the value of b, 2, and seeing whether or not we end up with a true statement:-

13(2)=6(2)+14 Multiply.

26=12+14 Now add.

26=26 Since the left-hand side does equal the right-hand side, we conclude that our solution, b=2, is correct.

Good luck with your studies.

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Answer 2

Answer: 2

Explanation:

=> 13b = 6b + 14
= 13b - 6b = 14
= 7b = 14
= b = 14/7
=> b = 2

Therefore, b = 2