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Find the number of solution of the syste...

Find the number of solution of the system of equation x+2y=6 and |x-3|=y

Text Solution

Verified by Experts

The correct Answer is:
2
Case I: `Let x ge 3`
`therefore {: (x+2y=6),(x-3=y):}}`
`rArr 3x=12 `
`rArr x=4,y=1`
Case II:`Let x lt 3`
`{: (x+2y=6),(3-x=y):}}`
`rArr -x=0or x=0,y=3`
Hence , the solution are (0,3) and (4,1)
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