Respuesta :

taskmasters
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.
calculista

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]


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