Question

How do i solve 5x+6 over 3x-9= 7/3

Answer 1

First, mulitply the whole equation by 3x-9. Then subtract by 3x to both sides. Then subtract 6 by both sides (can be done in same step as second step). Finally, divide by 2 to both sides. Your answer should be -13.5

Answer 2

Answer: The required solution is x = 13.5.

Step-by-step explanation: We are given to solve the following equation :

`(5x+6)/(3x-9)=(7)/(3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To solve the given equation (i), we need to cross-multiply first and then solve for x.

The solution of equation (i) is as follows :

`(5x+6)/(3x-9)=(7)/(3)\\\\\Rightarrow 3(5x+6)=7(3x-9)\\\\\Rightarrow 15x+18=21x-63\\\\\Rightarrow 21x-15x=63+18\\\\\Rightarrow 6x=81\\\\\Rightarrow x=(81)/(6)\\\\\Rightarrow x=13.5.`

Thus, the required solution is x = 13.5.