How do you simplify # [6 / (X-1)] = [4 / (X+1)]#?
1 Answer
Explanation:
-
Step 1: Cross-Multiply
This means we multiply each numerator by the opposite denominator and this helps to clear the fraction.
#6(x+1)=4(x-1)# -
Step 2: Distribute
We need to distribute or multiply out both sides of the equation to simplify them.
#6x+6=4x-4# -
Step 3: Isolate the Variable
Because we want to solve for#x# , we must isolate it on one side of the equation.
#6x-4x=-4-6# -
Step 4: Simplify
We can now complete the addition and subtraction to simplify the equation.
#2x=-10# -
Step 5: Divide
Because#x# is multiplied by#2# , we must divide both sides by#2# , so that#x# is alone. This way, we can find the value of#x# , instead of multiples of it.
#x=-5# -
Step 6: Check
We can check that our answer is correct by plugging it back in to the original equation.
#6/(-5-1)=4/(-5+1)#
#6/-6=4/-4#
#-1=-1#
The answer is proven.