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2x+3y=15 ,7x-y/3=3 are equations in two ...

`2x+3y=15 ,7x-y/3=3` are equations in two variables `x\ a n d\ y` .

Text Solution

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` 2x + 3y = 5`
`∴ (2x + 3y = 5) x (4) `
`= (8x + 12y = 20)`
Now Multiplying equation by `3`
`=> 7x - 4y = 3`
`∴ (7x - 4y = 3) x (3) `
`= (21x - 12y = 9)`
Now,
`=> (8x + 12y = 20) + (21x - 12y = 9)`
`=> (8x + 21x) + (12y - 12y) = (20 + 9)`
`=> 29x + 0 = 29`
`=> 29x = 29`
`=> x = 29/29`
`=> x = 1`
We get : `x = 1`,
Now Putting `x = 1` ,
`=> 2x + 3y = 5`
`=> 2(1) + 3y = 5`
`=> 2 + 3y = 5`
`=> 3y = 5 - 2`
`=> 3y = 3`
`=> y = 3/3` y = 1`

So `(x, y) = (1, 1)`
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