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 :

$\dfrac{5x+6}{3x-9}=\dfrac{7}{3}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

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 :

$\dfrac{5x+6}{3x-9}=\dfrac{7}{3}\\\\\Rightarrow 3(5x+6)=7(3x-9)\\\\\Rightarrow 15x+18=21x-63\\\\\Rightarrow 21x-15x=63+18\\\\\Rightarrow 6x=81\\\\\Rightarrow x=\dfrac{81}{6}\\\\\Rightarrow x=13.5.$

Thus, the required solution is x = 13.5.