Question

Linear Equations

Solve:
$\frac{x - 5}{2} - \frac{x - 3}{5} = \frac{1}{2}$
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Answer 1

Hey there!

Your Question–

$\frac{x - 5}{2} - \frac{x - 3}{5} = \frac{1}{2} </p><p></p><p><strong><u>To Find –</u></strong></p><p></p><ul><li>The value of x.</li></ul><p></p><p><strong><u>How to solve–</u></strong></p><p></p><ul><li> Multiplying all 3 fraction with the LCM of 2,5 and 2.</li><li>Solve the equation.</li></ul><p></p><p><strong><u>Solution–</u></strong></p><p></p><p>=(10x \times \frac{x - 5}{2} ) - (10x\times \frac{x - 3}{5} ) = (10 \times \frac{1}{2} )$

$=5(x - 5) - 2 (x - 3) = 5$

$=5x - 25 - 2x + 6 = 5$

$=5x - 2x - 25 + 6 = 5$

$=3x - 19 = 5$

$=3x = 5 + 19$

$=3x = 24$

$=x = \frac{24}{3}$

$Thus, \: x = 8$

Hope this answer will help you...

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Answer 2

● Refer to the attachment.