Math, asked by Shivampatil66, 7 hours ago

pls answer this question
See the attachment
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Answered by ExoStark
676

Answer:

\boxed{\boxed{\pink{\bf \dag Value \ of \ x \ is \ \dfrac{5}{12}}}}

Step-by-step explanation:

A linear equation is given to us and we need to solve the equation by converting it into a equivalent equation that does not contain fractions . So the given equation is :-

\bf\implies \dfrac{3}{5}x + \dfrac{1}{2}=\dfrac{3}{4}

Here the denominators of the fractions are 5 , 2 and 4. So LCM of 5 , 2 and 4 is , 20 .

So , Multiply whole equation by 20 .

\bf\implies 20 \bigg(  \dfrac{3}{5}x + \dfrac{1}{2} \bigg) = 20 \times \dfrac{3}{4}\\\\\bf\implies 4\times 3x + 10 = 5\times 3 \\\\\bf\implies 12x + 10 = 15 \:\: \bigg\lgroup \blue{\bf Equivalent \ equation \ without \ fractions .}\bigg\rgroup

Now let's solve this equation since we successfully converted it into a equivalent equation without fractions.

\bf \implies 12x + 10 = 15 \\\\\bf\implies 12x = 15-10 \\\\\bf\implies 12x = 5 \\\\\bf\implies\boxed{\red{\bf x =\dfrac{5}{12}}}

★ Hence the value of x is 5/12 .

Answered by Anonymous
0

\huge\boxed{\dag\sf\red{ANSWER}\dag}

 \frac{3}{5}x +  \frac{1}{2}  =  \frac{3}{4}

 \frac{3x}{5}  +  \frac{1}{2}  =  \frac{3}{4}

3x +  \frac{5}{2} =  \frac{15}{4}

3x =  \frac{15}{4}  -  \frac{5}{2}

3x =  \frac{5}{4}

\huge\fbox\pink{✯Answer✯}

x =  \frac{5}{12}

\huge\boxed{\dag\sf\red{Thanks}\dag}

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