Question

2. If x = m and y = n is the solution of the equations x — y = 2 and x + y 4, then find the values of m and n​

Answer 1

Answer:

Step-by-step explanation:

Given, x=a and y=b.

Given equations, x-y=2( assume it as equation 1)

x+y=4( assume it as equation 2)

Equation 1+2,

x-y=2

x+y=4

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2x=6( y gets cancelled as there is a negative y and a positive y implies y-y=0)

x=6/2

x=3

But x=a implies a=3

substitute a in equation 1 (it can be substituted even in equation 2)

x-y=2

3-y=2

y=3-2

y=1

But y=b implies b=1

Therefore, a=3 and b=1

Answer 2

Given, x=m and y=n

Given equations, x-y=2( assume it as equation 1)

x+y=4( assume it as equation 2)

Equation 1+2,

x-y=2

x+y=4

- - - - - - -

2x=6( y gets cancelled as there is a negative y and a positive y implies y-y=0)

x=6/2

x=3

But x=m implies m=3

substitute an in equation 1 (it can be substituted even in equation 2)

x-y=2

3-y=2

y=3-2

y=1

But y=n implies n=1

Therefore, m=3 and n=1