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प्रश्न
Solve for x and y:
`2x + 5y = 8/3, 3x - 2y = 5/6`
उत्तर
The given equations are:
2x - 2y = `5/6` …..(i)
3x - 2y = `5/6` ……..(ii)
On multiplying (i) by 2 and (ii) by 5, we get:
4x - 10y = `16/3` …...(iii)
15x – 10y =`25/6` …(iv)
On adding (iii) and (iv), we get:
19x =`57/6`
⇒` x = 57/(6 xx19) = 3/6 = 1/2`
On substituting x = `1/2` in (i), we get:
`2 × 1/2 + 5y = 8/3`
`⇒ 5y = (8/3−1) = 5/3`
`⇒y = 5/(3 × 5) = 1/3`
Hence, the solution is x = `1/2 and y = 1/3`.
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