Question

Solve for x and y: mx-ny=m2 n2;x-y=2n

Answer 1

Let me assume the given data  as equation 1 and equation 2 :-

⇒ $mx + ny = m ^{2} + n ^{2}$ → Equation 1

⇒$x - y = 2n$ → Equation 2

→ Let us first multiply equation 2 by m to get anyone common term :-

→ We get as :- $mx - my = 2 mn$

Now let us do elimination method :-

→ Subtract equation 3 by 1, we get as :-

$y(m-n) = (m-n) ^{2}$ → $y = m - n$

⇒ Now substitute the value of y in equation 2 ....

$x - ( m- n ) = 2n$

⇒$x = m + n$

Hence the value of x and y is :-

⇒$x =( m + n )$

⇒$y = ( m-n )$

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