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How do you solve #x/5 = (x+3)/8#?

Answer 1

#x = 5#

The first step in solving this problem is called cross-multiplying; we multiply the numerator of the first fraction by the denominator of the second, and the numerator of the second by the denominator of the first. In this case, we multiply #x# with #8#, and #5# with #x+3#:

#5(x+3) = 8*x# (cross-multiplying) #5x+15 = 8x# (distributing the #5#, simplifying #8*x#) #15 = 3x# (subtracting #5x# from both sides) #5 = x# (dividing by #3# to find #x#)

And there we go - our answer is #x = 5#.

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Answer 2

Eli Assouline

To solve the equation x/5 = (x+3)/8, you can cross-multiply. Multiply both sides of the equation by 8 and 5 to eliminate the denominators. This gives you 8x = 5(x+3). Distribute the 5 on the right side of the equation, which gives you 8x = 5x + 15. Next, subtract 5x from both sides to isolate the variable. This gives you 3x = 15. Finally, divide both sides of the equation by 3 to solve for x. The solution is x = 5.

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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.