What is the additive inverse of the expression below, where a and b are real numbers?. 2a + b. . Is it -2a - b??

Yes it is true that the additive inverse of the expression (2a + b) is (- 2a - b) where a and b are real numbers. This expression (- 2a - b) can also be written as [- (2a + b)]. I hope that this is the answer you were looking for and it has come to your help.

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calculista calculista · Answer 2 · 2018-11-16T04:10:16+01:00

we know that

Additive inverse is the number that one would need to add to equal zero

so

If [tex]x+y=0[/tex] -----> equation A

then

x and y are additive inverse

In this problem we have

[tex]x=(2a+b)[/tex]

Find the value of y

Substitute the value of x in the equation A

[tex](2a+b)+y=0[/tex]

Subtract both sides [tex]-(2a+b)[/tex]

[tex](2a+b)+y-(2a+b)=0-(2a+b)[/tex]

[tex]y=-(2a+b)[/tex]

therefore

the answer is

The additive inverse is [tex]-(2a+b)[/tex]