2x/a+y/b=2 and x/a-y/b=4

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Solution

2x / a + y / b = 2 - - - - - - - - - - (1)

x / a - y / b = 4 - - - - - - - (2) - - - - - multiply by 2

we get

2x / a - 2y / b = 8 - - - - - - - (3)

Now we subtract equation (1) from (3)

2x / a + y / b = 2

2x / a - 2y / b = 8

- - - - - - - - - - - -

3y / b = -6

y / b = -2

y = -2b

Now substituting the value of y in (1)

2x / a + (-2b / b) = 2

2x / a - 2 = 2

2x / a = 4

x / a = 2

x = 2a

Therefore y = -2b and x = 2a

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