Solution - Linear equations with one unknown
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "0.0001" was replaced by "(0001/10000)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
10*x-((1/10000))=0
Step by step solution :
Step 1 :
1
Simplify —————
10000
Equation at the end of step 1 :
1
10x - ————— = 0
10000
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 10000 as the denominator :
10x 10x • 10000
10x = ——— = ———————————
1 10000
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
10x • 10000 - (1) 100000x - 1
————————————————— = ———————————
10000 10000
Equation at the end of step 2 :
100000x - 1
——————————— = 0
10000
Step 3 :
When a fraction equals zero :
3.1 When a fraction equals zero ...Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
100000x-1
————————— • 10000 = 0 • 10000
10000
Now, on the left hand side, the 10000 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
100000x-1 = 0
Solving a Single Variable Equation :
3.2 Solve : 100000x-1 = 0
Add 1 to both sides of the equation :
100000x = 1
Divide both sides of the equation by 100000:
x = 1/100000 = 0.000
One solution was found :
x = 1/100000 = 0.000How did we do?
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