Question

if ax+by=ab and bx + a y is equal to a2 then find the value of y​

Answer 1

Answer:

y = a

Step-by-step explanation:

Given, ax+by=ab----------(1)

bx+ay= a²----------(2)

Multiplying (1) by b and (2) by a,

abx+b²y=ab²-------------------(3)

abx+a²y= a³--------------------(4)

subtracting (4) from (3),

(abx+b²y) - (abx+a²y) = ab² - a³

abx+b²y-abx-a²y = ab² - a³

b²y - a²y = ab² - a³

(b²-a²) y = (b² - a²) a [Taking common]

y = a