Question

solve the following equation
$2x + y = 5 \\ 3x - 2y = 4$
​

Answer 1

Answer :-

Value of x is 2 and value of y is 1.

Explanation :-

Given pair of linear equations

• 2x + y = 5 -----eq(1)

• 3x - 2y = 4-----eq(2)

Finding the value of y in terms of x of eq(1)

⇒ 2x + y = 5

⇒ y = 5 - 2x

Substitute y = 5 - 2x in eq(2)

⇒ 3x - 2y = 4

⇒ 3x - 2(5 - 2x) = 4

⇒ 3x - 10 + 4x = 4

⇒ 7x - 10 = 4

⇒ 7x = 4 + 10

⇒ 7x = 14

⇒ x = 14/7

⇒ x = 2

Substitute the value of x in y = 5 - 2x

⇒ y = 5 - 2x

⇒ y = 5 - 2(2)

⇒ y = 5 - 4

⇒ y = 1

∴ value of x is 2 and value of y is 1

Note :-

The method used above is SUBSTITUTION METHOD.

Answer 2

Answer :-

Value of x is 2 and value of y is 1.

Explanation :-

Given pair of linear equations

• 2x + y = 5 -----eq(1)

• 3x - 2y = 4-----eq(2)

Finding the value of y in terms of x of eq(1)

⇒ 2x + y = 5

⇒ y = 5 - 2x

Substitute y = 5 - 2x in eq(2)

⇒ 3x - 2y = 4

⇒ 3x - 2(5 - 2x) = 4

⇒ 3x - 10 + 4x = 4

⇒ 7x - 10 = 4

⇒ 7x = 4 + 10

⇒ 7x = 14

⇒ x = 14/2

⇒ x = 2

Substitute the value of x in y = 5 - 2x

⇒ y = 5 - 2x

⇒ y = 5 - 2(2)

⇒ y = 5 - 4

⇒ y = 1

∴ value of x is 2 and value of y is 1.

Note :-

The method used above is SUBSTITUTION METHOD.