Question

solve for x and y using elimination method. x/a+y/b=a+b,x/a2+y/b2=2​

Answer 1

Answer:

x = a2       y = b2

Step-by-step explanation:

Given (x/a) + (y/b) = a + b

Multiply by (1/a) both sides, we get

(x/a2) + (y/ab) = 1 + (b/a) → (1)

Given other linear equation as (x/a2) + (y/b2) = 2  → (2)

Subtract (2) from (1), we get

(x/a2) + (y/ab) = 1 + (b/a)

(x/a2) + (y/b2) = 2  

(y/ab) − (y/b2) = (b/a) − 1

⇒ y[(b − a)/ab2] = (b − a)/a

∴ y = b2

Put y = b2 in (x/a2) + (y/b2) = 2  

⇒ (x/a2) + (b2/b2) = 2  

⇒ (x/a2) + 1 = 2  

⇒ (x/a2)  = 1

∴ x = a2