Question

x/2 - 3 = x/3 + 5 solve the equation and verify the answer ​

Answer 1

Given:-

$. \: \sf \: \frac{x}{2} - 3 = \frac{x}{3} + 5$

To Find:-

•Find the value of given equation and verify it.

Solution:-

$\: \: \sf \: \frac{x}{2} - 3 = \frac{x}{3} + 5 \\ \\ \: \: \sf \: \frac{x}{2} - \frac{x}{3} = 5 + 3 \\ \\ \: \: \sf \: \frac{3x - 2x}{6} = 8 \\ \\ \: \: \sf \: \frac{x}{6} = 8 \\ \\ \: \: \sf \: x = 8 \times 6 \\ \\ \: \: \sf \: x = 48$

Hence,value of equation is 48.

Verifiy!

$\: \: \sf \: \frac{x}{2} - 3 = \frac{x}{3} + 5 \\ \\ \: \: \sf \: \frac{48}{2} - 3 = \frac{48}{3} + 5 \\ \\ \: \: \sf \: 24 - 3 = 16 + 5 \\ \\ \: \: \sf \: 21 = 21$

LHS = RHS

Hence verified!

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