Question

Solve the rational equation quantity 3 times x plus 2 end quantity divided by 5 equals quantity 2 times x minus 1 end quantity divided by 3.

x = 1
x = 3
x = 6
x = 11

Answer 1

`x=11`

Explanation:

Given the equation

`(3x+2)/(5)=(2x-1)/(3)`

You can interpret this equation as proportion.

Cross multiply:

`3(3x+2)=5(2x-1)\\ \\9x+6=10x-5\ [\text{Use distributive property}]\\ \\9x-10x=-5-6\\ \\-x=-11\\ \\x=11`