Question

if x = a, y=b is the solution of the pair of equations x-y=2 and x+y=4. find the value of a and b​

Answer 1

Answer:a=3 and b=1

Step-by-step explanation:

Given,

x=a and y=b are the solutions of the equation

x-y=2.........eq1

x+y=4........eq2

put,value of x as a

and value of y as b in eq1 and eq2

from 1 and 2 we get

a-b=2 & a+b=4

Addind this we get

2a=6

Therefore,a=3

Put a=3 in any above eq.

We get b=1

Hence a=3 andb=1

Answer 2

Answer:

a = 3, b = 1

Step-by-step explanation:

x=a, y=b

x-y=2

a-b=2..............(eq.1)

x+y=4

a+b=4....................(eq.2)

add eq. 1&2

2a=6

a=6/2 => 3

a+b=4

3+b=4

b=4-3 =>1