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

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

Answer 2

Correct option is:

a. 3/2

Explanation:

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

`(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

`(2)/(3)x* (3)/(2)=10* (3)/(2)`

which is equal to

x=15

Hence, Correct option is:

a. 3/2