Question

3. ਹੇਠ ਦਿੱਤੇ ਰੇਖੀ ਸਮੀਕਰਣ ਜੋੜੇ ਦਾ ਹੱਲ ਪਤਾ ਕਰੋ x+ y = 16, x – y = 4 Find the Solution of the following pair of linear equations. x+ y = 16, x – y = 4 निम्नलिखित रैखिक समीकरण युग्म का हल ज्ञात कीजिए x+ y = 16, x – y = 4 *​

Answer 1

Answer :

x = 10 , y = 6

Solution :

Here ,

The given linear equations are ;

x + y = 16 ------(1)

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

Now ,

Adding eq-(1) and eq-(2) , we get ;

=> x + y + x - y = 16 + 4

=> 2x = 20

=> x = 20/2

=> x = 10

Now ,

Putting x = 10 in eq-(1) , we get ;

=> x + y = 16

=> 10 + y = 16

=> y = 16 - 10

=> y = 6

Hence ,

x = 10 , y = 6

Answer 2

Answer:

✯ Given :-

◩ x + y = 16

◩ x - y = 4

✯ To Find :-

◩ What is the value of x

✯ Method Used :-

◩ Substitution Method

✯ Solution :-

• x + y = 16 ..... ❶
• x - y = 4 ....... ❷

⋆ From the equation no (1) we get,

⇒ x + y = 16

➙ x = 16 - y

⋆ Substituting x = 16 - y in the equation no (2) we get,

⇒ x - y = 4

⇒ (16 - y) - y = 4

⇒ 16 - y - y = 4

⇒ 16 - 2y = 4

⇒ - 2y = 4 - 16

⇒ - 2y = - 12

⇒ y = $\sf\dfrac{\cancel{- 12}}{\cancel{- 2}}$

➥ y = 6

⋆ Now, putting the value of y = 6 in the equation no (2) we get,

⇒ x - y = 4

⇒ x - 6 = 4

⇒ x = 4 + 6

➥ x = 10

$\therefore$ The value of x is $\boxed{\bold{\small{10}}}$ and the value of y is $\boxed{\bold{\small{6}}}$ .

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