Solve the following pairs of equations by reducing them to a pair of linear equations
`2/sqrtx +3/sqrty = 2`
`4/sqrtx - 9/sqrty = -1`
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Solution
`2/sqrtx +3/sqrty = 2`
`4/sqrtx - 9/sqrty = -1`
Let `1/sqrtx = p ` , then the equations changes as below:
2p + 3q = 2 ... (i)
4p - 9q = -1 ... (ii)
Multiplying equation (i) by 3, we get
6p + 9q = 6 ... (iii)
Adding equation (ii) and (iii), we get
10p = 5
p = 1/2 ... (iv)
Putting in equation (i), we get
`2 × 1/2 + 3q = 2`
3q = 1
`q = 1/3`
`p = 1/sqrtx = 1/2`
`sqrtx = 2`
x = 4 and q = `1/sqrty = 1/3`
`sqrty = 3`
y = 9
Hence, x = 4, y = 9
Is there an error in this question or solution?
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