Question

If x = a, y= b, is the solution of the systems of equations x-y = 2 and x+ y = 4 then find the

values of a and b​

Answer 1

Answer:

Given:

x=a, y=b is the solution of the equations x-y=2 and x+y=4

To find:

The value of a and b

Solution:

We have given the linear equation in the two variables,

So to get the value of the x and y we have to solve the equations by a particular method.

Let us solve these equations by the elimination method:

x-y = 2 ------------(I)

x+y = 4 ------------(II)

So add the equations (I) and (II) we get:

2x = 6

x = 3

It is given in the question that x = a

so the value of the a is 3

Putting the value of x in equation (I) we get:

3 - y = 2

y = 3 - 2

y = 1

It is given in the question that y = b

so the value of the b is 1

Hence

The value of a and b is 3 and 1 respectively