Question

Solve for x nd y.....
X/a + y/b =2. nd. ax-by=a square - b square.....
Pls solve it its urgent....

Answer 1

Answer:

x/a + y/b =2

∴bx+ay=2ab ------->1

ax - by = a^2 - b^2--------->2

multiply 1 by [a] and 2 by [b]

we get from 1

abx + ya^2 = 2ba^2-------->3

we get from 2,

abx - yb^2 = ba^2 - b^3--------->4

eqn 3 - eqn4,we get

abx + ya^2 -abx + yb^2 = 2ba^2 - ba^2 + b^3

ya^2 + yb^2 = ba^2 +b^3

y[a^2 + b^2] =b[a^2 + b^2]

∴y=b

x/a +y/b = 2

x/a + y/y = 2  [∵y =b]

x/a = 2-1

x/a = 1

∴x=a