Multiple Choice Question (MCQ)
If a=\dfrac{x-bc}{1-x} , what is the value of x in terms of a, b and c?
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×
\dfrac{a-bc}{a-1}
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×
\dfrac{b-ac}{a-1}
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✓
\dfrac{a+bc}{a+1}
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×
\dfrac{ac+b}{a+1}
If a=\dfrac{x-bc}{1-x} , what is the value of x in terms of a, b and c?
\dfrac{a-bc}{a-1}
\dfrac{b-ac}{a-1}
\dfrac{a+bc}{a+1}
\dfrac{ac+b}{a+1}
Given the expression
a=\dfrac{x-bc}{1-x}
Multiply both sides of the equation by 1-x to remove the denominator
a-ax=x-bc
Rearrange the terms and factor out x
(a+1)x=a+bc
Divide both sides by a+1, and then,
x= \dfrac{a+bc}{a+1}
C is correct choice