which of the following is true?

Question

4a+n=2a-3

4b+m=2b-3

 

If n is m plus 1, which of the following is true?

 

A. a is b minus 1/2

B. a is b plus 1/2

C. a is b plus 1

D. a is b minus 2

Answer 1

So, Anna, let's substitute.

 

4a + (m + 1) = 2a - 3

4a + m + 1 = 2a - 3

m = -2a - 4

 

Solving the second equation for m:

 

m = -2b - 3

 

Since both are equal to m, they are equal to each other:

 

-2a - 4 = -2b - 3

 

Solving for a:

 

-2a = -2b + 1

a = b - 1/2

 

Your answer is A.