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

Question

Eli Assouline · Accepted Answer

#(-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)

Avery Alexander · Answer

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)#

Jameson Allen · Answer

undefined 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 $.