Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
13-(x/4)=0
Step by step solution :
Step 1 :
x
Simplify —
4
Equation at the end of step 1 :
x
13 - — = 0
4
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 4 as the denominator :
13 13 • 4
13 = —— = ——————
1 4
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:
13 • 4 - (x) 52 - x
———————————— = ——————
4 4
Equation at the end of step 2 :
52 - x
—————— = 0
4
Step 3 :
When a fraction equals zero :
Now, to get rid of the denominator, Tiger multiple's both sides of the equation by the denominator.
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.
Here's how:
52-x
———— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
52-x = 0
Solving a Single Variable Equation :
3.2 Solve : -x+52 = 0
Subtract 52 from both sides of the equation :
-x = -52
Multiply both sides of the equation by (-1) : x = 52
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