It is known that a = 3 – b / c. Express from this equality the variable b through the variables a and c.
| September 7, 2021 | education
a = 3 – b / c – add the fractional expression (b / c) to both sides of the equality.
a + b / c = 3 – b / c + b / c.
a + b / c = 3 – subtract the variable a from both sides of the equality.
a – a + b / c = 3 – a.
b / c = 3 – a – multiply both sides of the equality by the variable c.
b * c / c = (3 – a) / c.
b = (3 – a) / c.
Answer: the variable b, expressed from the equality a = 3 – b / c, takes the value b = (3 – a) / c.
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