Que. If 3x - 2y = 5 and 3 y-2x = 3, then find the value of (x+y)
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3x-2y=24 _____ (1)
2x-3y=18 _____ (2)
multiply (1) by 2
6x - 4y = 48
multiply (2) by 3
6x-9y=54
subtracting
6x - 4y = 48
6x - 9y = 54
- + -
___________
5y = -6
y= −
5
−6
3x−
2(−
5
6
)=
24
= 3x+
5
12
=
24
= 3x= 24−
5
12
=
5
120−12
=
5
108
∴ x=
5
36
x+ y=
5
36−6
=
5
30
=
6
x− y=
5
36+6
=
5
42
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