Question

If x=a & y=b is the solution of the pair of linear equations, x-y=2 and x+y=4 then, the value of a and b is ________.​

Answer 1

Step-by-step explanation:

As x=a and y=bthen

⇒a−b=2............(1)

⇒a+b=4............(2)

Adding eq1 and eq2

⇒2a=6

⇒a=

2

6

=3

Substitute the value of a in eq1

⇒3−b=2

⇒−b=2−3

⇒b=1

Hence the value of a=3 and b=1

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Answer 2

Step-by-step explanation:

x=a,y=b

x-y=2--------1 eq.

x+y=4--------2eq.

substitute the values,we get

a-b=2

a+b=4

- - -

______

-2b=-2

b=1

substitute value of b in eq.

a-b=2

a-1=2

a=3

therefore the values of 'a' and 'b' is 3 and 1

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