Suppose A and B represent linear expressions. If A+ B=2x -2 and A -B=4x-8, how do you find A and B?

Question

6501 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-14T11:31:29

#A= 3x-5 , B= 3-x #

#A+B=2x-2 ; (1) , A-B=4x-8 ; (2)#

Adding equations (1) and (2) we get,

#A+cancelB +A-cancelB=2x-2 + 4x-8 # or

#2A=6x-10 :. A= 3x-5 #

Subtracting equation (2) from equation (1) we get,

#A+B -(A-B)=2x-2 -(4x-8)# or

# cancelA+B -cancelA+B=2x-2 -4x+8# or

#2B= -2x+6 :. B= -x+3#

Therefore, #A= 3x-5 , B= 3-x # [Ans]