Question

The solution of the equation x-y=2 and x+y=4 is ?

Answer 1

By elimination method:

x-y=2...(1)

x+y=4... (2)

eqn(1)&(2)

x-y=2

x+y=4

(-)(-) (-)

- 2y=-2

y=-2/-2

y=1

x-y=2

Sub y=1 in eqn(1)

x-1=2

x=2+1

x=3

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Answer 2

The solution of the equation x - y = 2 and x + y = 4 is x = 3 , y = 1

Given : x - y = 2 and x + y = 4

To find : The solution of the equations

Solution :

Step 1 of 2 :

Write down the given system of equations

Here the given system of equations are

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

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

Step 2 of 2 :

Solve the system of equations

Adding Equation 1 and Equation 2 we get

2x = 6

⇒ x = 6/2

⇒ x = 3

From Equation 2 we get

3 + y = 4

⇒ y = 4 - 3

⇒ y = 1

The required solution is x = 3 , y = 1

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