Question

Please explain. I think it’s a two step equation.

Answer 1

`k = (5)/(3)`

Explanation:

It is actually a one-step equation.

If you have a number multiplying a variable equaling another number, then you need to do only one operation to solve; you need to multiply both sides by the reciprocal of the number multiplying the variable.

Here we have

`(3)/(2) = (9)/(10)k`

First, switch sides to have the variable, k, on the left side.

`(9)/(10)k = (3)/(2)`

You have a variable, k, multiplied by a number, the fraction 9/10, equaling another number, 3/2. To solve for k, multiply both sides by the reciprocal of 9/10 which is 10/9.

`(10)/(9) * (9)/(10)k = (10)/(9) * (3)/(2)`

On the left side, you have the product of two reciprocals, 10/9 and 9/10, which equals 1, leaving just k.

On the right side, you must multiply the fraction 10/9 by 3/2 and then reduce.

`k = (30)/(18)`

`k = (5)/(3)`