Question

If x=a and y=b is the solution of the pair of linear equations x-y=2 and x+y=4 then find the values of a and b

Answer 1

This is the answer...........Thanks

Answer 2

Answer:

a =3 , b =1

Step-by-step explanation:

Given : $x-y=2$

            $x+y=4$

To find :  x=a and y=b is the solution of the pair of linear equations x-y=2 and x+y=4 then find the values of a and b

Solution:

$x-y=2$  --1

$x+y=4$   --2

Adding 1 and 2

$x+y+x-y=4+2$

$2x=6$

$x=\frac{6}{2}$

$x=3$

Thus a =3

Now substitute the value in 1

$3-y=2$

$3-2=y$

$1=y$

Hence the value of a is 3 and b is 1