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How do you solve #\frac { 4z } { 7} - 8= 1#?

Answer 1

Avery Alexander

#z = 15.75#

#(4z)/7 - 8 = 1#

Add #color(blue)8# to both sides: #(4z)/7 - 8 quadcolor(blue)(+quad8) = 1 quadcolor(blue)(+quad8)#

#(4z)/7 = 9#

Multiply both sides by #color(blue)(7)#: #(4z)/7 color(blue)(*7) = 9 color(blue)(*7)#

#4z = 63#

Divide both sides by #color(blue)4#: #(4z)/color(blue)4 = 63/color(blue)4#

#z = 15.75#

Hope this helps!

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Answer 2

Abigail Allen

To solve the equation (\frac{4z}{7} - 8 = 1), follow these steps:

Add 8 to both sides of the equation: (\frac{4z}{7} = 9).
Multiply both sides by 7 to isolate (z): (4z = 63).
Divide both sides by 4: (z = \frac{63}{4}).
Simplify the fraction: (z = 15.75).

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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.