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How do you solve #\frac{18}{12} = \frac{r + 10}{10}#?

Answer 1

#color(green)(r=5)#

Given #color(white)("XXX")18/12=(r+10)/10#

Multiply both sides by #(12xx10)# to get #color(white)("XXX")18/cancel(12) xx(cancel(12)xx10)=(r+10)/cancel(10) xx(12xxcancel(10))#

#color(white)("XXX")180=12r+120#

Subtract #120# from both sides: #color(white)("XXX")60=12r#

Divide both sides by #12# #color(white)("XXX")5=rcolor(white)("XX")orcolor(white)("XX")r=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.

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