Solve the following equation. remember to check for extraneous solutions 4/3x + 5/4 = 3/x.

The solution of the equation is x = 4/3

Step-by-step explanation:

Hi there!

We have the following equation:

4/3x + 5/4 = 3/x

Subtract 3/x and 5/4 to both sides of the equation

4/3x - 3/x = -5/4

multiply both sides by x

x(4/3x - 3/x) = (-5/4)x

Apply distributive property

4/3 - 3 = (-5/4)x

-5/3 = (-5/4)x

divide both sides by (-5/4)

-5/3 / (-5/4) = x

4/3 = x

Now let´s check the solution:

4/(3 · 4/3) + 5/4 = 3/(4/3)

1 + 5/4 = 9/4

9/4 = 9/4

Then, the solution of the equation is x = 4/3

Have a nice day!

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this