Question

solve 2/root x + 3/root y =2 ,4/root x - 9/root y = 1 by using reducing method

Answer 1

HELLO DEAR,

let -------------- 1/√x=p-------------

and, -------------1/√y=q--------------

then We get new Equation,

2p+3q=2-------(1)

------------⭐✴️✨⭐⭐☪️-------------

4p-9q =1--------(2)

from---(1) and ---(2)
multiply by (3). --in (1)

6p+9q=6
4p-9q=1
__________
10p =7

=> p=7/10 --put in --(1)


2(7/10) + 3q =2

=> 14/5 +3q =2

=>. (14 +15q) / 5 =2

=>. 14+5q =10

=> 5q=10-14

=> q= -4/5

we know that:;

p=1/√x =7/10

=> √x =10/7

=> x=100/49. [on squaring both side]

and

q=1/√y= -4/5

=> √y =(-5/4)

=> y=25/16. [on squaring both side]



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