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How do you solve #x/3 + x/8 =11/24#?

Answer 1

Julia Adams

#x=1#

Multiplying by 24 on both sides we get#8x+3x=11 or 11x=11 or x=1#[Ans]

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Answer 2

Hazel Anglin

To solve the equation x/3 + x/8 = 11/24, you can follow these steps:

Find a common denominator for the fractions on the left side of the equation. In this case, the common denominator is 24.
Multiply each term by the common denominator to eliminate the fractions. This gives you: 8x/24 + 3x/24 = 11/24.
Combine the like terms on the left side of the equation: (8x + 3x)/24 = 11/24.
Simplify the equation: 11x/24 = 11/24.
Multiply both sides of the equation by the reciprocal of the coefficient of x, which is 24/11. This cancels out the denominators and leaves you with: x = 1.

Therefore, the solution to the equation x/3 + x/8 = 11/24 is x = 1.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.