Solve the following pair of linear equations :
and
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2/x^-2=2x^-2(rationalisation)
3/y^-2=3y^-2(———-“———)
Similarly,
4x^-2&9y^-2
So,
2x^-2 + 3y^-2 = 2——-(1)
And
4x^-2 - 9y^-2 = 1——-(2)
Multiplying 3 on both sides in eq. 1 we get
6x^-2 + 9y^-2 = 6——-(3)
Adding (1) & (3) we get,
6x^-2 + 9y^-2 = 6
+4x^-2 - 9y^-2 =+ 1
Therefore
10x^-2 = 7,
x = (7/10)^2,
x = 49/100,
x = 0.49.
3/y^-2=3y^-2(———-“———)
Similarly,
4x^-2&9y^-2
So,
2x^-2 + 3y^-2 = 2——-(1)
And
4x^-2 - 9y^-2 = 1——-(2)
Multiplying 3 on both sides in eq. 1 we get
6x^-2 + 9y^-2 = 6——-(3)
Adding (1) & (3) we get,
6x^-2 + 9y^-2 = 6
+4x^-2 - 9y^-2 =+ 1
Therefore
10x^-2 = 7,
x = (7/10)^2,
x = 49/100,
x = 0.49.
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