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Solving Equations Using Method of Substitution

If x+y=c and ...

Question

If x + y = c and x - y = b, then .

\frac{c + b}{2}

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\frac{c}{2 + b}

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\frac{b}{2 + c}

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\frac{c b}{2}

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Solution

The correct option is A x= $\frac{c + b}{2}$
Given that,
x + y = c...(1) and x - y = b....(2)

Now,
In equation (2), y = x - b.
By substituting the value of y in the equation (1),
we get
x + x - b = c
$\Rightarrow$ x = $\frac{c + b}{2}$

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X

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X \cap (Y \cup X)^{C}

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