Question

3. If x= a , y = b is the solution of the pair of equations x - y = 2 and x + y = 4, then find the values
of a and b
Ca.
sul​

Answer 1

Answer:

a = 3 and b = 1

Step-by-step explanation:

Given

x=a

y=b

pair of equations x-y=2 and x+y=4

To find

a and b = ?

Solution

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

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

x=a and y=b --(given)

therefore

a - b = 2 -(3)

a + b = 4 -(4)

By Subtracting equation (4) by (3)

a + b = 4

a - b = 2

- + -

___________

2b = 2 -(a gets eliminated)

b = 2/2 = 1

Substituting the value of b in equation 4

a + b = 4

a = 4 - 1

a = 3

Therefore a = 3 and b =1

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Answer 2

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