SOLUTION: Solve and explain if there is an extraneous solution.
(2x-5)/(3x-6) =2/5
Algebra.Com
Question 821299: Solve and explain if there is an extraneous solution.
(2x-5)/(3x-6) =2/5
Found 2 solutions by ankor@dixie-net.com, KMST:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
=
Cross multiply
5(2x-5) = 2(3x-6)
10x - 25 = 6x - 12
10x - 6x = -12 + 25
4x = 13
x =
:
You can check this in the original equation using decimal equiv; x=3.25
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Verification:
I know that the only step where I could have introduced an extraneous solution is hen I multiplied both sides of the equal sign times the denominator.
If I had found for a solution, it would have been an extraneous solution that would make the denominator zero.
The easiest way to check your work for extraneous solutions, and also for mistakes is to substitute the value found for the solution in the original equation, and see if that value makes it true.
The solution found is not an extraneous solution,
and I did not make a mistake in the calculations either.
If I had found for a solution, it would have been an extraneous solution that would make the denominator zero.
RELATED QUESTIONS
solve for x; determine if solution is real or extraneous
2x/4 + 3x/5 = 1/20
x/x+1 + (answered by Fombitz)
Please explain?
Give an example of a rational equation for which there is an actual... (answered by rwm,solver91311)
y-5=4sqrt y
Need to solve for y and determine if there is an extraneous solution. I... (answered by Fombitz)
4^(2x)=5^(x-2) Solve and check for extraneous... (answered by stanbon,Alan3354)
Solve the system by graphing. (Simplify your answer completely. If the system is... (answered by MathLover1)
Solve each equation. If a solution is extraneous, so indicate.... (answered by aaaaaaaa)
1. An equation, shown below, represents the rates of three quantities.
2/z = 4/x + 3/y
(answered by ikleyn)
Solve each equation. Check each solution.
1. -x/4=2x/3
I got x=-5 and it is... (answered by RAY100)
I know its -3 but I don't know if its extraneous or not.
Find the solution of 5 radical (answered by Edwin McCravy)