Question

solve the pair of linear equations 3x+y=9 and 2x-y=1 and find the value of x and y​

Answer 1

Given:

• 3x + y = 9 ----- [Equation 1]
• 2x - y = 1 ----- [Equation 2]

To find:

Value of x and y = ?

Solution:

Consider the First Equation

3x + y = 9

⇒ y = 9 - 3x ----- [Equation 2]

Substitute this value of y in Equation 2 to find out the value of x

2x - y = 1

⇒ 2x - (9 - 3x) = 1

⇒ 2x - 9 + 3x = 1

⇒ 5x - 9 = 1

⇒ 5x = 10

⇒ x = 10 ÷ 5

⇒ x = 2

For finding value of y:

y = 9 - 3x

⇒ y = 9 - 3(2)

⇒ y = 9 - 6

⇒ y = 3

∴ x = 2 and y = 3

Answer 2

Answer :-

Let ,

→ 3x + y = 9 ------- Eqn.(1)

→ 2x - y = 1 -------- Eqn.(2)

adding both Eqn. we get,

→ (3x + y) + (2x - y) = 9 + 1

→ 3x + 2x + y - y = 10

→ 5x = 10

→ x = 2

putting value of x in Eqn.(2)

→ 2*2 - y = 1

→ y = 4 - 1

→ y = 3 .

hence, value of x is 2 and y is 3 .

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