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How do you solve #3/4d + 4 = 1/4d + 18#?

Answer 1

See the entire solution process below:

First, subtract #color(red)(4)# and #color(blue)(1/4d)# from each side of the equation to isolate the #d# term while keeping the equation balanced:

#3/4d + 4 - color(red)(4) - color(blue)(1/4d) = 1/4d + 18 - color(red)(4) - color(blue)(1/4d)#

#3/4d - color(blue)(1/4d) + 4 - color(red)(4) = 1/4d - color(blue)(1/4d) + 18 - color(red)(4)#

#(3 - 1)/4d + 0 = 0 + 14#

#2/4d = 14#

#1/2d = 14#

Now, multiply each side of the equation by #color(red)(2)# to solve for #d# while keeping the equation balanced:

#color(red)(2) xx 1/2d = color(red)(2) xx 14#

#cancel(color(red)(2)) xx 1/color(red)(cancel(color(black)(2)))d = 28#

#1d = 28#

#d = 28#

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Answer 2

Jace Anderson

To solve the equation ( \frac{3}{4}d + 4 = \frac{1}{4}d + 18 ), we can start by isolating the variable ( d ) on one side of the equation. Subtract ( \frac{1}{4}d ) from both sides and then subtract 4 from both sides to simplify and solve for ( d ).

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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.