Question

Solve for x and y (1+b/b)x+(1+a/a)y=b-a and x/b-4y/a=5

Answer 1

Therefore the required solution is x = b and y = - a

Step-by-step explanation:

Given equation are

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

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

Multiplying $({1+b})$ with equation  (2) - equation (1)

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

⇒$-\frac{4+4b+1+a}{a}y = 5+5b-b+a$

⇒$-\frac{5+4b+a}{a} y=5+4b+a$

⇒y= - a

putting y= - a in equation (2)

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

⇒$\frac{x}{b} +4=5$

⇒x= b

Therefore the required solution is x = b and y = - a