Which expression must be added to #3x-7# to equal 0?

Answer 1

Eli Assouline

#(-3x+7)# must be added

Additive inverses are terms or numbers that add up to zero (adding opposites).

This indicates an identical number, but with a positive and a negative.

Here are a few instances of additive inverses.

#(-5) + (+5) = 0#

#(+6b) + (-6b) = 0#

#(+x^2) + (-x^2) = 0#

Even if you were unaware of it, this is a very helpful idea that is utilized when solving equations (this is how one term is "moved to the other side").

The expression which must be added to #3x-7# to give 0, is just its additive inverse.

#(+3x-7) + (-3x+7) =0#

(Identical digits, opposing signs)

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Answer 2

Avery Alexander

You need to add the expression # -3x+7#

Given:#" "3x-7#

Write as #color(green)(+3x-7)#

Everything needs to become zero.

#color(green)("Consider the "+3x)#

The #+3x# means that #3x# has been put with the expression and put with means add #->+#, so we need to remove it which is subtract #-> -#

So for this part we have #color(white)(.)color(green)( 3x)color(red)(-3x)=0# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(green)("Consider the "-7)#

Since the minus was removed, it must be added back to make 0.

So for this part we have #color(green)(-7)color(red)(+7)=0# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Putting it all together")#

#color(green)(3x-7 =?" "->" "3xcolor(red)(-3x)-7color(red)(+7)=0 )#

#" "color(green)(3x-7)color(red)(-3x+7)=0#

So you need to add the expression#color(red)(-3x+7)#

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Answer 3

Jameson Allen

To make $3x - 7$ equal to 0, you need to add $+7$ to both sides of the equation. So, the expression you must add is $+7$ .

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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.