Question

5x/6+3x/4=19/12 ,then the value of x is

Answer 1

The value of x is 1.

Step-by-step explanation:

Here, $\dfrac{5x}{6}+\dfrac{3x}{4}=\dfrac{19}{12}$

• Step: We find the LCM of 6 and 4, which here is 12 and them find the sum of the factors.

$\Rightarrow \dfrac{5x\times 2+3x\times 3}{12}=\dfrac{19}{12}$

$\Rightarrow \dfrac{10x+9x}{12}=\dfrac{19}{12}$

$\Rightarrow \dfrac{19x}{12}=\dfrac{19}{12}$

• Step: We multiply both sides by $\dfrac{12}{19}$ to free the left hand side of the constant.

$\Rightarrow \dfrac{19x}{12}\times \dfrac{12}{19}=\dfrac{19}{12}\times \dfrac{12}{19}$

$\Rightarrow x=1$

Thus the value of x is 1.

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