Question

the pair of linear equation X - 2y = 0 and 3 X + 4 Y = 20​

Answer 1

( x , y ) = ( 20 , 10 )

Step-by-step explanation:

x - 2y = 0 .....( 1 )

3x + 4y = 20 .....( 2 )

Multiply equation ( 1 ) with 2

= 2x - 4y = 0 ..... ( 3 )

Adding equation ( 2 ) and equation ( 3 )

2x - 4y = 0 ..... ( 2 )

3x + 4y = 20 ..... ( 3 )

+ + +

_____________

5x = 20

x = 20 / 5

x = 4

Taking the value of x = 4 in equation ( 2 )

3x + 4y = 20

3 ( 4 ) + 4y = 20

12 + 4y = 20

4y = 20 - 12

4y = 8

y = 8 / 4

y = 2

Let's check the value of x and y by putting the value of x = 4 and y = ( 2 ) in equation ( 3 )

2x - 4y = 0

2 ( 4 ) - 4 ( 2 )

8 - 8

= 0

( x , y ) = ( 4 , 2 )