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

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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]