Solution - Linear equations with one unknown
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "98.6" was replaced by "(986/10)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
c-(5/9*((986/10)-32))=0
Step by step solution :
Step 1 :
493
Simplify ———
5
Equation at the end of step 1 :
5 493
c - (— • (——— - 32)) = 0
9 5
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
32 32 • 5
32 = —— = ——————
1 5
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:
493 - (32 • 5) 333
—————————————— = ———
5 5
Equation at the end of step 2 :
5 333
c - (— • ———) = 0
9 5
Step 3 :
5
Simplify —
9
Equation at the end of step 3 :
5 333
c - (— • ———) = 0
9 5
Step 4 :
Equation at the end of step 4 :
c - 37 = 0
Step 5 :
Solving a Single Variable Equation :
5.1 Solve : c-37 = 0
Add 37 to both sides of the equation :
c = 37
One solution was found :
c = 37How did we do?
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