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How do you solve and check your solutions to #-3.2+z=-7.4#?

Answer 1

Nathan Axel

See a solution process below:

To solve, add #color(red)(3.2)# to each side of the equation to solve for #z# while keeping the equation balanced:

#color(red)(3.2) - 3.2 + z = color(red)(3.2) - 7.4#

#0 + z = -4.2#

#z = -4.2#

To check the solution substitute #color(red)(-4.2)# for #color(red)(z)# in the original equation and calculate the left side of the equation to ensure it equals #-7.4#:

#-3.2 + color(red)(z) = -7.4# becomes:

#-3.2 + color(red)(-4.2) = -7.4#

#-7.4 = -7.4#

This is the right answer because the equation's two sides are equal.

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Answer 2

Jameson Allen

To solve -3.2 + z = -7.4, you would first add 3.2 to both sides of the equation to isolate z. This gives z = -7.4 + 3.2. Then, simplify to find the value of z. Finally, you can check your solution by substituting the value of z back into the original equation to ensure it satisfies the equation.

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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.