Write the following relation as the set of ordered pair: A relation `R` on the set `{0,1,2, ddot, 10}` defined by `2x+3y=12.`

Explanation

Given `2x + 3y = 12 `

Here `x` and `y = {0, 1, 2,…, 10}`

`2x + 3y = 12`

`2x = 12 – 3y`

`x = (12-3y)/2`

If,` y = 0, x = (12-3(0))/2 = 12/2 = 6 `

If, `y = 2, x = (12-3(2))/2 = (12-6)/2 = 6/2 = 3`

If,` y = 4, x = (12-3(4))/2 = (12-12)/2 = 0/2 = 0`

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