Solution - Linear equations with one unknown
Step by Step Solution
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
a/164363-10-(10)=0
Step by step solution :
Step 1 :
a
Simplify ——————
164363
Equation at the end of step 1 :
a
(—————— - 10) - 10 = 0
164363
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 164363 as the denominator :
10 10 • 164363
10 = —— = ———————————
1 164363
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:
a - (10 • 164363) a - 1643630
————————————————— = ———————————
164363 164363
Equation at the end of step 2 :
(a - 1643630)
————————————— - 10 = 0
164363
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 164363 as the denominator :
10 10 • 164363
10 = —— = ———————————
1 164363
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(a-1643630) - (10 • 164363) a - 3287260
——————————————————————————— = ———————————
164363 164363
Equation at the end of step 3 :
a - 3287260
——————————— = 0
164363
Step 4 :
When a fraction equals zero :
4.1 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:
a-3287260
————————— • 164363 = 0 • 164363
164363
Now, on the left hand side, the 164363 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
a-3287260 = 0
Solving a Single Variable Equation :
4.2 Solve : a-3287260 = 0
Add 3287260 to both sides of the equation :
a = 3287260
One solution was found :
a = 3287260How did we do?
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