Question

Solve the given pair of linear equations by
using elimination method.
3x+4y=10 and x-y=1​

Answer 1

Answer:

3x+4y=10____(1)

x-y=1_____(2)×4

3x+4y=10

4x-4y=4

_______

7x=14

x=2

from equation (2)

x-y=1

2-y=1

-y=-1

y=1

Answer 2

Given:

3x+4y=10 and x-y=1​

To find:

Solve this by the elimination method.

Solution:

In the elimination method, we just eliminate one variable to find the value of other.

• 3x+4y=10 -----(I)
• x-y=1 -----------(II)

(I) + 4(II)

3x+4y=10​

4x-4y=4

7x-0y = 14

• 7x = 14
• x = 2

Put the value of x in any of the equation.

• x-y=1
• 2-y = 1
• y = 1

The solution of 3x+4y=10 and x-y=1​ is (2,1)