Question
1/6k-3=5/6k+10
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Answers
GPT 3.5
To solve the equation 1/6k - 3 = 5/6k + 10, you can follow these steps:
Step 1: Get rid of the fractions by multiplying every term in the equation by the least common denominator (LCD), which is 6k. This will eliminate the fractions.
6k * (1/6k) - 6k * 3 = 6k * (5/6k) + 6k * 10
After simplifying, the equation becomes:
1 - 18k = 5 + 60k
Step 2: Combine like terms on both sides of the equation.
-18k - 60k = 5 - 1
-78k = 4
Step 3: Divide both sides of the equation by -78 to isolate the variable k.
k = 4/-78
Step 4: Simplify the fraction if possible.
k = -2/39
So the solution to the equation 1/6k - 3 = 5/6k + 10 is k = -2/39.
Step 1: Get rid of the fractions by multiplying every term in the equation by the least common denominator (LCD), which is 6k. This will eliminate the fractions.
6k * (1/6k) - 6k * 3 = 6k * (5/6k) + 6k * 10
After simplifying, the equation becomes:
1 - 18k = 5 + 60k
Step 2: Combine like terms on both sides of the equation.
-18k - 60k = 5 - 1
-78k = 4
Step 3: Divide both sides of the equation by -78 to isolate the variable k.
k = 4/-78
Step 4: Simplify the fraction if possible.
k = -2/39
So the solution to the equation 1/6k - 3 = 5/6k + 10 is k = -2/39.