Solve the rational equation. \frac{x}{4}-\frac{x}{6}=5

sklicatias

sklicatias

Answered question

2021-11-18

Solve the rational equation.
x4x6=5

Answer & Explanation

Walker Funk

Walker Funk

Beginner2021-11-19Added 13 answers

Step 1 
Here the given equation is x/4 – x/6 = 5 
The LCM of the denominators 4 and 6 is 12, so first determine the common denominator.
So: 
x4x6=5 
Step 2 
Multiply by LCM 12 
x412x612=512 
3x-2x=60 
x=60 
Step 3 
Hence , the value of x is 60.

Roger Noah

Roger Noah

Beginner2021-11-20Added 17 answers

Step 1: Find the least common denominator
x4+x6=5 
3x12+2(1)x12=5 
Step 2: Fractions with the same denominator added
3x+2(1)x12=5 
Step 3: Multiply the numbers 
3x2x12=5 
Step 4: Combine similar members 
1x12=5 
Step 5: Multiply by 1 
x12=5 
Step 6: Multiply all terms by the same number to get rid of the denominators 
12x12=125 
Step 7: Reduce the multiplied terms in the denominator 
x=12*5 
Step 8: Multiply the numbers 
x=60 
The solution 
x=60

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