Question

35. The solution of the equations x - y = 2 and x + y = 4 is:
(A) 3 and 5
(B) 5 and 3
(C) 3 and 1
(D) -1 and -3​

Answer 1

Answer :

Here is your answer..

Step by step explanation :

x-y= 2 ------------------- (i)

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

On combining (i) and (ii)

x+x-y+y = 2+4

2x = 6

So x = 3..

As we have finded x, so we can find value of y by any equation (i) or (ii)...

x+y=4

3+y=4

y=4-3

y = 1 ANSWER...

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Answer 2

GIVEN :-

• x - y = 2.
• x + y = 4.

TO FIND :-

• The Solution of the given Equations.

SOLUTION :-

⇒ x - y = 2. ....(1)

⇒ x + y = 4. ....(2)

Now from Equation 1 wr have,

⇒ x - y = 2

⇒ x = 2 + y

Now substitute the value of x in Equation 2.

⇒ x + y = 4

⇒ 2 + y + y = 4

⇒ 2 + 2y = 4

⇒ 2y = 4 - 2

⇒ 2y = 2

⇒ y = 2/2

⇒ y = 1.

Now substitute the value of y in Equation 1.

⇒ x - y = 2.

⇒ x - 1 = 2

⇒ x = 2 + 1

⇒ x = 3.

Hence the required solution of the given equations is 3 and 1.