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How do you solve #1/2k - 3 = 2 - 3/4k #?

Answer 1

Ethan Adkins

The value of #k# is #4#.

Your formula is

#1/2k-3 = 2-3/4k#

Multiplying both sides by #4#, we get

#2k-12 = 8-3k#

Keeping the terms involving #k# on one side and the constants on the other, we get

#-12-8 = -3k-2k#

#-20 = -5k#

Divide both sides by #-5#

#(-20)/-5 = (-5k)/-5#

#4 = k#

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Answer 2

Julia Adams

To solve the equation 1/2k - 3 = 2 - 3/4k, first, we need to combine like terms. Then, we can isolate the variable k by performing the necessary operations to move terms to one side of the equation and the variable to the other side.

First, add 3 to both sides of the equation: 1/2k - 3 + 3 = 2 - 3/4k + 3 1/2k = 5 - 3/4k

Next, to eliminate the fractions, we can multiply both sides of the equation by the least common denominator, which is 4: 4(1/2k) = 4(5 - 3/4k) 2k = 20 - 3k

Now, we can add 3k to both sides of the equation: 2k + 3k = 20 5k = 20

Finally, divide both sides by 5 to solve for k: 5k/5 = 20/5 k = 4

So, the solution to the equation is k = 4.

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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.