( ) ( ) ( )( ) (ab) b (ab) a a (a) b (b)
y
b ab a ab
x
u u
u u
u
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b a ab b a
a b ab a b
or 2 2 2 2 2 2
1
ab ab a b
y
ab ab
x
or
( ) ab(a b) (a b)(a b)
y
aba b
x
1
or
( ) ab(a b) (a b)(a b)
y
aba b
x
1
?
ab(a b) (a b)(a b)
x
1
, or
a b
ab
a b a b
aba b
x
( )( )
( )
Again,
ab(a b) (a b)(a b)
y
1
, or
a b
ab
a b a b
aba b
y
( )( )
( )
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¹
·
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a b
ab
a b
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Exercise 12⋅ 2
Solve by the method of substitution (1 - 3) :
- 7 x 3 y 31
9 x 5 y 41
2. 1
2 3
x y
1
3 2
x y
- 2
b
y
a
x
axby a^2 b^2
Solve by the method of elimination (4 - 6) :
- 7 x 3 y 31 5. 7 x 8 y 9 6. axby c
9 x 5 y 41 5 x 4 y 3 a^2 xb^2 y c^2
Solve by the method of cross-multiplication (7 - 15) : - 2 x 3 y 5 0 8. 3 x 5 y 9 0 9. x 2 y 7
4 x 7 y 6 0 5 x 3 y 1 0 2 x 3 y 0 - 4 x 3 y 12 11. 7 x 8 y 9 12. 3 xy 7 0 2 xy 3
2 x 5 5 x 4 y 3 - axby a^2 b^2 14. y( 3 x) x( 6 y)
2 bxay ab^3 ( 3 x) 5 (y 1 )^ - (x 7 )(y 3 ) 7 (y 3 )(x 1 ) 5