Question

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

Answer 1

we know that

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

so

If
`x+y=0` -----> equation A

then

x and y are additive inverse

In this problem we have

`x=(2a+b)`

Find the value of y

Substitute the value of x in the equation A

`(2a+b)+y=0`

Subtract both sides
`-(2a+b)`

`(2a+b)+y-(2a+b)=0-(2a+b)`

`y=-(2a+b)`

therefore

the answer is

The additive inverse is
`-(2a+b)`

Answer 2

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.