Question

If x +y=3 and x-y =1 then the value of x is

Answer 1

x+y=3

x-y=1

x+y+x-y=3+1

2x=4

x=4/2

x=2

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Answer 2

Answer :

The values are :

x = 2

y= 1

Given :

The equations are :

• x + y = 3
• x - y = 1

To Find :

• The values of x and y

Solution :

Considering the equations as :

$\sf{x + y = 3 \: \: ..........(1)}$

and

$\sf{x - y = 1 \: \: ...........(2)}$

Adding the equations (1) and (2) :

$\sf{x + y + x - y = 3 + 1} \\ \\ \sf{ \implies2x = 4} \\ \\ \implies \sf x = \dfrac{4}{2} \\ \\ \bf \implies x = 2$

Putting the value of x in (1) :

$\sf2 + y = 3 \\ \\ \sf{ \implies y = 3 - 2} \\ \\ \implies \bf y = 1$

Thus x = 2 and y = 1