x-1/6=1/6

This faces adding, subtracting and also finding the least usual multiple.


Step by step Solution

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Rearrange:

Rearrange the equation by individually what is to the appropriate of the equal authorize from both political parties of the equation : x-1/6-(1/6)=0

Step by step solution :

Step 1 :

1 simplify — 6Equation at the finish of action 1 : 1 1 (x - —) - — = 0 6 6

Step 2 :

1 simplify — 6Equation at the end of step 2 : 1 1 (x - —) - — = 0 6 6

Step 3 :

Rewriting the whole as one Equivalent portion :3.1Subtracting a fraction from a totality Rewrite the totality as a portion using 6 together the denominator :

x x • 6 x = — = ————— 1 6 Equivalent portion : The portion thus created looks different however has the very same value as the whole typical denominator : The equivalent portion and the other portion involved in the calculation re-superstructure the same denominator

Adding fountain that have actually a usual denominator :3.2 adding up the two identical fractions include the two equivalent fractions i beg your pardon now have actually a usual denominatorCombine the molecule together, placed the sum or distinction over the typical denominator then reduce to lowest state if possible:

x • 6 - (1) 6x - 1 ——————————— = —————— 6 6 Equation at the end of action 3 : (6x - 1) 1 ———————— - — = 0 6 6

Step 4 :

Adding fractions which have a usual denominator :4.1 including fractions which have a typical denominatorCombine the molecule together, put the amount or difference over the typical denominator then reduce to lowest terms if possible:

(6x-1) - (1) 6x - 2 ———————————— = —————— 6 6

Step 5 :

Pulling out like terms :5.1 traction out choose factors:6x - 2=2•(3x - 1)

Equation in ~ the end of action 5 : 2 • (3x - 1) ———————————— = 0 6

Step 6 :

When a fraction equals zero :6.1 once a fraction equals zero ...Where a portion equals zero, the numerator, the part which is above the fraction line, have to equal zero.Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.Here"s how:

2•(3x-1) ———————— • 6 = 0 • 6 6 Now, top top the left hand side, the 6 cancels the end the denominator, while, ~ above the right hand side, zero time anything is tho zero.The equation now takes the shape:2 • (3x-1)=0

Equations i beg your pardon are never ever true:6.2Solve:2=0This equation has no solution. A a non-zero constant never equals zero.

Solving a single Variable Equation:6.3Solve:3x-1 = 0Add 1 to both sides of the equation:3x = 1 division both political parties of the equation by 3:x = 1/3 = 0.333