Answer:
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!
