Solve the following pair of linear equations by reducing them to a pair of linear equations 2/√x + 3/√y =2
4/√x - 9/√y = -1
Answers
x = 4 & y = 9 is solution of linear equations 2/√x + 3/√y =2 , 4/√x - 9/√y = -1
Step-by-step explanation:
2/√x + 3/√y =2
4/√x - 9/√y = -1
u = 1/√x v = 1/√y
=> 2u + 3v = 2 Eq1
& 4u - 9v = - 1 Eq2
3 * eq1 + Eq2
=> 6u + 9v + 4u - 9v = 6 - 1
=> 10u = 5
=> u = 1/2
=> 2(1/2) + 3v = 2
=> 3v = 1
=> v = 1/3
u = 1/√x = 1/2
=> √x = 2
Squaring both sides
=> x = 4
v = 1/√y = 1/3
=> √y = 3
Squaring both sides
=> y = 9
x = 4 & y = 9
x = 4 & y = 9 is solution of linear equations 2/√x + 3/√y =2 , 4/√x - 9/√y = -1
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