solve for x=8/9x+9=11

Question

please solve step by step

Answer 1

For the problem

x=8/(9x+9)=11

First, you can cross multiply. Then, you get 8=99x+99    (99x+99) comes from distributing the 11 to 9x and to 9

 

8=99x+99

-99       -99(subtract 99 from both sides of the equation in order to isolate x)

You will get -91=99x

You can now divide both sides of this equation by 99 and then you can solve for x

(-91/99)=(99x/99)

(-91/99)=x

 

You can check your answer by plugging its value into the original equation. If you get 11=11, then you have the right value for x.

 

 

 

Answer 2

Cristina

 

Assuming the starting equation is (8/9)*x+9=11  or (8x)/9+9=11:

 

First isolate the x term by subtracting 9 from both sides:

 

(8x)/9 + 9 - 9 = 11 - 9

(8x)/9            =    2

 

Now multiply both sides by 9/8 to get:

 

((8x)/9)*(9/8)  = 2  *  9/8

        1x    =          18/8

 

The right side can be reduced, by dividing the numerator and denominator by 2:

 

         x    =           9/4

 

Hope this helps.

 

George T.