Question

Solve for b thank you :)

Answer 1

The answer is b=8!! hope this help

Answer 2

Answer:

$b = 8$

Step-by-step explanation:

First, cross multiply across the equal sign. Note that what you do to one side, you do to the other:

$(b+10)(2b-7)(\frac{8}{b+10}) = (\frac{4}{2b -7})(b+10)(2b-7)\\ \\(2b -7)(8) = (4)(b+10)$

Next, distribute 8 and 4 to their corresponding parenthesis:

$8(2b -7) = 16b - 56\\4(b + 10) = 4b + 40$

$16b - 56 = 4b + 40$

Next, isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 56 and subtract 4b from both sides:

$16b (-4b) - 56 (+56) = 4b (-4b) + 40 (+56)\\16b - 4b = 40 + 56\\12b = 96$

Isolate the variable, b. Divide 12 from both sides:

$12b = 96\\\frac{12b}{12} = \frac{96}{12} \\b = \frac{96}{12} \\b = 8$

$b = 8$ is your answer.

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