Verified Answer :

dalendrk

\(\dfrac{2}{3}x=10\ \ \ \ |multiply\ both\ sides\ by\ \dfrac{3}{2}\\\\\dfrac{ ot3^1}{ ot2_1}\cdot\dfrac{ ot2^1}{ ot3_1}x=\dfrac{3}{ ot2_1}\cdot ot10^5\\\\x=15\\\\Answer:\ \boxed{a.\ \frac{3}{2}}\)

Answer:

Correct option is:

a. 3/2

Step-by-step explanation:

We have to determine the number which must be multiplied to the equation

\(\dfrac{2}{3}x=10\)

to form the equation x=15

Clearly the left hand side of the equation is converted to x

Hence, on multiplying the original equation by 3/2, we get

\(\dfrac{2}{3}x\times \dfrac{3}{2}=10\times \dfrac{3}{2}\)

which is equal to

x=15

Hence, Correct option is:

a. 3/2

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