Question

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

Answer 1

Answer:

a = 3 and b = 1

Step-by-step explanation:

x + y=4

Therefore, a + b = 4 -------(1)

x - y = 2

Therefore, a - b = 2--------(2)

Adding (1) and (2)

a + b = 4

+. a - b = 2

-----------------

2a = 6

a = 3

Substitute in (1)

a + b = 4

3 + b = 4

b = 4 - 3

b = 1

Therefore, a = 3 & b= 1