Question

2x/a+y/b=2 and x/a-y/b=4​

Answer 1

Answer:

by elimination method.

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

x/a-y/b=4..........(2)

by (1) +(2)

(2x/a) +(x/a)+ (-y/b)(y/b) = 2+4

3x/a=6

x/a=2

x/a-y/b =4

by substituting value of x/a

2-y/b=4

-y/b=2

y/b=-2

HOPE THE ANSWER IS CLEAR.....

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

2x/a + y/b = 2 ................ (a)

x/a - y/b = 4 ................... (b)

Now,

From (a) we have,

y/b = 2 - 2x/a

y = b(2 - 2x/a)

Now,

Substitute this value of y in (b),

x/a - y/b = 4

x/a - b/b(2 - 2x/a) = 4

x/a - 2 + 2x/a = 4

3x/a = 6

3x = 6a

x = 2a

Now,

Substitute this value of x in (a),

2x/a + y/b = 2

4 + y/b = 2

y/b = -2

y = -2b

So,

x = 2a & y = -2b

Therefore,

x = 2a, y = -2b