Question

6.
Solve the following system of equations in x and y: mx -- ny = m?n?
x + y = 2m​

Answer 1

Answer:

mx−

ny=

m 2

n 2

mx+

my=

2m

2

- - -

−my−ny=m

2

+n

2

−2m

2

⇒ (x+ y= 2m)× m

−y=

m+n

(n

2

−m

2

)

⇒

y=

(

m+n

2

m 2

) =

(m+n)

(m+n)(m−n)

y= m− n

Substitute 'y' in equaltion

x+

y=

2m

x= 2m− m+ n

x= m+ n

(x,y)= [m+ n,m− n]