Question

. If x=p, y = q is the solution of the pair of equations x - y =2 and x + y = 4 then the value of p + q is
3
4
10
17

Answer 1

x-y=2...(1)

x+y=4...(2)

Adding equation (1) and (2)..... it is because one sign is positive while other is negative.

On adding both the equations we get,

x=3 and y=1

since x= p and y= q we get

p+ q = 3+1

=4

p+q=4

Answer 2

Answer:

p + q = 4

Solution:

Here,

The given equations are ;

x - y = 2 -------(1)

x + y = 4 --------(2)

Now,

Adding eq-(1) and (2) , we get ;

=> x - y + x + y = 2 + 4

=> 2x = 6

=> x = 6/2

=> x = 3

Now,

Putting x = 3 in eq-(2) , we get ;

=> x + y = 4

=> 3 + y = 4

=> y = 4 - 3

=> y = 1

Also,

It is given that ;

x = p and y = q is the solution of the pair of given equations .

Thus,

p = 3 and q = 1

Hence,

=> p + q = 3 + 1

=> p + q = 4

Thus,

The required value of p + q is 4 .