(A+B)+(A-B)x=3x+5

2006-11-08 3:15 am
(A+B)+(A-B)x=3x+5 這是一條恆等式,我想知步驟。Thank you.

回答 (5)

2006-11-08 3:19 am
✔ 最佳答案
(A+B)+(A-B)x=3x+5
A + B = 5 ___(1)
A – B = 3 ___(2)
(1)式加(2)式
2A = 8
A = 4
(1)式減(2)式
2B = 2
B = 1
2006-11-09 1:08 am
(A + B) = 5 and (A - B) = 3
i.e. A - B = 3
A = 3 + B
substitute into A + B = 5
3 + B + B = 5
2B = 2
B = 1
then substitute B = 1 into A = 3 + B
= 3 + 1
= 4

thus, A = 4 and B =1
2006-11-08 3:22 am
A-B=3 A+B=5

A=4 B=1
2006-11-08 3:21 am
let a + b = 5 ( 1 )
let a - b = 3 ( 2 )

( 1 ) + ( 2 )
2a = 8
a = 4#

Sub a = 4 to ( 2 )
4 - b = 3
b = 1#
2006-11-08 3:20 am
(A+B)+(A-B)x=3x+5

Therefore,
A+B=5 and A-B=3

Therefore, A =4, B =1


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