How do you solve # (3y)/4 - y/3 = 10 #?

Answer 1

Solution is #y=24#

To solve #(3y)/4−y/3=10#, multiply each term by LCM of denominators of all fractions. As these are 3 and 4, let us multiply by #12#. Equation then becomes
#(3y)*12/4−y*12/3=10*12# or
#9y-4y=120#
i.e. #5y=120# i.e. #y=120/5=24#
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Answer 2

To solve the equation (3y)/4 - y/3 = 10, you can follow these steps:

  1. To eliminate the fractions, multiply every term in the equation by the least common multiple (LCM) of the denominators, which in this case is 12.

  2. Multiply (3y)/4 by 3/3 to get (9y)/12, and multiply y/3 by 4/4 to get 4y/12.

  3. The equation becomes (9y)/12 - 4y/12 = 10.

  4. Combine like terms on the left side of the equation: (9y - 4y)/12 = 10.

  5. Simplify the left side of the equation: 5y/12 = 10.

  6. Multiply both sides of the equation by the reciprocal of 5/12, which is 12/5.

  7. The equation becomes (5y/12) * (12/5) = 10 * (12/5).

  8. Simplify both sides of the equation: y = 24.

Therefore, the solution to the equation (3y)/4 - y/3 = 10 is y = 24.

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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.

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.

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.

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.

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