Question

v) Find x +y & x - y if 64x - 45y = 289 & 45 x - 64y = 365
plz give answer of this question guys​

Answer 1

Step-by-step explanation:

Solution;

Given,

64x - 45y = 289

or, 64x = 289 + 45y

or, x = 45y+289.............(i)

64

45x - 64y = 365

or, 45 x 45y+289 - 64y = 365 [From (i)]

64

or, 45(45y+289)-64yx64 = 365

64

or, 2025y+13005-4096y = 365x64

or, -2071y+13005 = 23360

or, 2071y = 13005-23360

or, y = -10355/2071

or y = -5

Putting y = -5 in (i)

x = 45y+289

64

= 45(-5)+289

64

= -225+289

64

=64/64

=1

Hence, x = 1 and y = -5

Now, x + y = 1 + (-5)= 1 - 5 = -4

x - y = 1 - (-5) = 1 + 5 = 6

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