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How do you solve #1\frac { 1} { 4} y = - 3\frac { 3} { 4}#?

Answer 1

Kennedy Adams

See the entire solution process below:

First, convert each mixed fraction to an improper faction as shown:

#((4/4 xx 1) + 1/4)y = -((4/4 xx 3) + 3/4)#

#(4/4 + 1/4)y = -(12/4 + 3/4)#

#5/4y = -15/4#

Now, multiply each side of the equation by #color(red)(4)/color(blue)(5)# to solve for #y# while keeping the equation balanced:

#color(red)(4)/color(blue)(5) xx 5/4y = color(red)(4)/color(blue)(5) xx -15/4#

#cancel(color(red)(4))/cancel(color(blue)(5)) xx color(blue)(cancel(color(black)(5)))/color(red)(cancel(color(black)(4)))y = cancel(color(red)(4))/cancel(color(blue)(5)) xx (-cancel(color(blue)(color(black)(15)))3)/color(red)(cancel(color(black)(4)))#

#y = -3#

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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.