Question

3x + 1/3 = 5 solve and check​

Answer 1

14/9

Step-by-step explanation:

$\sf{3x+\dfrac{1}{3}=5}$

$\:\: :\implies \sf{3x = 5 - \dfrac{1}{3} }$

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$\:\: :\implies \sf{3x = \dfrac{15 - 1}{3} }$

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$\:\: :\implies \sf{3x = \dfrac{14}{3} }$

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$\:\: :\implies \sf{x = \dfrac{14}{3} \div 3}$

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$\:\: :\implies \sf{x = \dfrac{14}{3} \times \dfrac{1}{3} }$

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$\:\: :\implies \sf{x = \dfrac{14}{9} }$

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Check:-

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Putting x = 14/9 in the equation

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$\sf{3x + \dfrac{1}{3} = 5}$

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$\sf :\implies{3 \times \dfrac{14}{9} + \dfrac{1}{3} = 5}$

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$\sf{ :\implies\dfrac{42}{9} + \dfrac{1}{3} =5}$

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$:\implies \sf{ \dfrac{14}{3} + \dfrac{1}{3} = 5}$

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$:\implies \sf{ \dfrac{15}{3} = 5}$

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$:\implies \sf{5 = 5}$

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$:\implies \sf{LHS=RHS} \:$

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${\underline{{\boxed{\sf{\bf{\pink{Hence, checked!✓}}}}}}}$