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Homework- One to One Solutions
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Maths-

General

Easy

Question

Solve $fraction numerator 4 x over denominator 5 end fraction minus straight x equals x over 10 minus 9 over 2$

hint Hint:

○ Addition and subtraction of fractions.
○ First make denominator equal.
○ Then perform basic operation to get value of x.

The correct answer is: x = 15

○ Given:
Equation $fraction numerator 4 x over denominator 5 end fraction minus straight x equals x over 10 minus 9 over 2$
○ Step 1:
○ Make denominator equal:
$fraction numerator 4 x over denominator 5 end fraction minus fraction numerator left parenthesis x right parenthesis times 5 over denominator 5 end fraction equals x over 10 minus fraction numerator left parenthesis 9 right parenthesis times 5 over denominator left parenthesis 2 right parenthesis times 5 end fraction$
$not stretchy rightwards double arrow fraction numerator 4 x over denominator 5 end fraction minus fraction numerator 5 x over denominator 5 end fraction equals x over 10 minus 45 over 10$
$not stretchy rightwards double arrow fraction numerator 4 x minus 5 x over denominator 5 end fraction equals fraction numerator x minus 45 over denominator 10 end fraction$
○ Step 2:
Cross multiply :
$not stretchy rightwards double arrow fraction numerator 4 x minus 5 x over denominator 5 end fraction equals fraction numerator x minus 45 over denominator 10 end fraction$
$rightwards double arrow$ (4x - 5x) 10 = (x - 45) 5
$rightwards double arrow$ -10x = 5x - 225
$rightwards double arrow$ 225 = 5x + 10x
$rightwards double arrow$ 225 = 15x
$rightwards double arrow$ x = $225 over 15$
$rightwards double arrow$ x = 15

Final Answer:

x = 15

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