The equations are:
[tex] \frac{2x}{a} + \frac{y}{b} = 2[/tex] ...................(1)
[tex] \frac{x}{a} - \frac{y}{b} = 4[/tex] .....................(2)
Since the coefficients of y are same in both equation with opposite signs, add them.
We get,
3x/a= 6
⇒x = 6a/3
⇒x = 2a
Put the value of x in equation(1)
[tex] \frac{2(2a)}{a} + \frac{y}{b} = 2 \\ 4 + \frac{y}{b} = 2 \\ \frac{y}{b} = 2-4 =-2 \\ y = -2b [/tex]
