Question

solve for x and y (1+b/b)x+(1+a/a)y=b-a x/b-4y/a=5,a not equal to 0 ,b not equal to 0​

Answer 1

Therefore x = a and y = -b

Step-by-step explanation:

Given equations are

$\frac{1+b}{b} x +\frac{1+a}{a}y = b-a$ ........(1)                 and   $\frac{x}{b} - \frac{4y}{a} =5$........(2)

Equation (1)×1 - Equation (2)×(1+b)

$\frac{1+b}{b} x +\frac{1+a}{a}y - \frac{1+b}{b} x +\frac{4(1+b)y}{a} = b-a -5(1+b)$

$\Leftrightarrow\frac{1+a}{a}y +\frac{4(1+b)y}{a} = b-a -5-5b$

$\Leftrightarrow\frac{5+4b+a}{a}y =-( 5+4b+a)$

∴ y =-a

Putting the value of y  in equation (2)

$\frac{x}{b} + \frac{4a}{a} =5$

$\Leftrightarrow \frac {x}{a} =5-4$

∴x = a

Therefore x = a and y =-b