Question

What are two different ways 23x=10 could be solved for x?

Question 1 options:

Subtract 3/2 from both sides of the equation


Divide both sides of the equation by 3/2


Divide both sides of the equation by 2/3


Multiply both sides of the equation by 3/2


Multiply both sides of the equation by 2/3


Subtract 2/3 from both sides of the equation

Answer 1

3 & 4

Explanation:

Given

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

Required

Determine the number of ways to solve for x

From the list of given options, (1), (2) & (5) are incorrect, as they won't give the solution to the value of x

Option (3) is correct: See below

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

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

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

`x = (30)/(2)`

`x = 15`

Option (4) is also correct: See below

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

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

`x = (30)/(2)`

`x = 15`