Solution - Linear equations with one unknown
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): ".000074" was replaced by "(000074/1000000)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(74/1000000)-(s)=0
Step by step solution :
Step 1 :
37
Simplify ——————
500000
Equation at the end of step 1 :
37
—————— - s = 0
500000
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 500000 as the denominator :
s s • 500000
s = — = ——————————
1 500000
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:
37 - (s • 500000) 37 - 500000s
————————————————— = ————————————
500000 500000
Equation at the end of step 2 :
37 - 500000s
———————————— = 0
500000
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:
37-500000s
—————————— • 500000 = 0 • 500000
500000
Now, on the left hand side, the 500000 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
37-500000s = 0
Solving a Single Variable Equation :
3.2 Solve : -500000s+37 = 0
Subtract 37 from both sides of the equation :
-500000s = -37
Multiply both sides of the equation by (-1) : 500000s = 37
Divide both sides of the equation by 500000:
s = 37/500000 = 0.000
One solution was found :
s = 37/500000 = 0.000How did we do?
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