This is the basic and exam oriented question from linear equations in two variables in which we have given two equations x/a+y/b=a+b, x/a²+y/b²=2 and we have been asked to calculate the value of variables x and y from the given equations
Kindly solve the above equations
RS Aggarwal, Class 10, chapter 3B, question no 50
x/a+y/b-(a+b) = 0……………..(1).
x/a^2+y/b^2–2 = 0…………………(2).
x/{-2/b+(a+b)/b^2} = y/{-(a+b)/a^2+2/a} = 1/{1/ab^2–1/a^2b}.
x/{(a-b)/b^2} = y/{(a-b)/a^2} = 1/{(a-b)/a^2.b^2}.
x.b^2 = y.a^2 = a^2.b^2.
x= a^2.b^2/b^2 =a^2. Answer.
y =a^2.b^2/a^2 = b^2. Answer