Question

if A + B = 2x - 2, and A - B = 4x-8, find A and B

Answer 1

A+B=2x-2
A-B=4x-8
Adding eq 1and2 we get
2A=6x-10
A=3x-5 putting this value in eq A+B=2x-2 we get
3x-5+B=2x-2
B=3-x
So required value is A=2x-2 or B= 3-x.
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Answer 2

A-B=4x-8
A=B+4x-8
A+B=2x-2
B+4x-8+B=2x-2
2B=6-2x
B=3-x
A=B+4x-8=3-x+4x-8=3x-5
Hence B=3-x and A=3x-5