Question

(2)1/2x +(3)1/2x = 56 - 2x
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Answer 1

$= 2 \frac{1}{2} x +3 \frac{1}{2} x = 56 - 2x$

$= \frac{5}{2} + \frac{7}{2} = 56 - 2x$

$= \frac{12}{2} = 56 -2 x$

$= \frac{12 \div 2}{2 \div 2}x = 56 - 2x$

$= 6x = 56 - 2x$

$= 6x = - 2x + 56$

$= - 2x + 56 = 6x$

$= 56 = 6x + 2x$

$= 56 = 8x$

$x = \frac{56}{8}$

$\color{olive} \: x = \color{hotpink}7$

Let us check whether or not we have found out the correct value of x , by placing 7 in the place of x :-

$2 \frac{1}{2} \times 7 + 3 \frac{1}{2} \times 7 = 56 - 2 \times7$

$17 \frac{1}{2} + 24 \frac{1}{2} = 42$

$\color{olive}42 = \color{hotpink}42$

$\color{olive}LHS \color{plum}= \color{hotpink} RHS$

As the left hand side of the equation is equivalent to the right hand side of the equation, we can conclude that we have found out the correct value of x .

$\therefore \color{olive} \: the \: value \: of \: x \color{plum} \color{hotpink} = 7$