Question

by what number must you multiply each side of the equation 2/3x=10 to produce the equivalent equation x=15 ? a.3/2 b.-2/3 c.3 d.1/3

Answer 1

$\dfrac{2}{3}x=10\ \ \ \ |multiply\ both\ sides\ by\ \dfrac{3}{2}\\\\\dfrac{\not3^1}{\not2_1}\cdot\dfrac{\not2^1}{\not3_1}x=\dfrac{3}{\not2_1}\cdot\not10^5\\\\x=15\\\\Answer:\ \boxed{a.\ \frac{3}{2}}$

Answer 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