Question

Solve the following pair of Linear Equations by using Elimination Method: 4x – 5y + 7 = 0; 3x - 4y + 6 = 0

Answer 1

Answer

• x = 2
• y = 3

Given

4x - 5y + 7 = 0

3x - 4y + 6 = 0

To Find

To solve given equations by Elimination method

Solution

4x - 5y + 7 = 0

On multiplying 3 on both sides , we get ,

⇒ 3( 4x - 5y + 7 ) = 3(0)

⇒ 12x - 15y + 21 = 0 ... (1)

3x - 4y + 6 = 0

On multiplying both sides with 4 , we get ,

⇒ 4 ( 3x - 4y + 6 ) = 4(0)

⇒ 12x - 16y + 24 = 0 ... (2)

Now , solve (2) - (1) , we get ,

⇒ ( 12x - 16y + 24 ) - ( 12x - 15y + 21 ) = 0 - 0

⇒ 12x - 16y + 24 - 12x + 15y - 21 = 0

⇒ - y + 3 = 0

⇒ y = 3

Sub. y value in any of given eq. ,

⇒ 4x - 5(3) + 7 = 0

⇒ 4x - 15 + 7 = 0

⇒ 4x = 8

⇒ x = 2

Answer 2

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