SOLUTION: the following equation has denominators that contain variables. for this equation write the value or values of the variable that make a denominator zero. these are the restrictio

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: the following equation has denominators that contain variables. for this equation write the value or values of the variable that make a denominator zero. these are the restrictio      Log On


   

Question 304759: the following equation has denominators that contain variables. for this equation write the value or values of the variable that make a denominator zero. these are the restrictions on the variable. keeping the restrictions in mind, solve the equation.
2/x=4/5x+2
x=
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
2/x=4/5x+2
Values that drive the denominator to zero:
x = 0, -2/5
These are the values that x cannot take.
.
Solving for x:
Cross multiplying:
4x = 2(5x+2)
4x = 10x+4
-6x = 4
x = -4/6
x = -2/3
Since the solved solution is NOT one of the excluded numbers, this must be the answer.