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Question

If 3x2y=24 and 2x3y=18 then find x+y and xy

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Solution

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=65
3x2(65)=24
=3x+125=24
=3x=24125=120125=1085
x=365
x+y=3665=305=6
xy=36+65=425

1182857_1293344_ans_94809cb1acdf4707a01f053925de058c.jpg

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