Question

2x-3y=1
5x+4y=14
elimination method ​

Answer 1

Answer:

(x , y) = (2 , 1)

Step-by-step explanation:

Here ,

2x - 3y = 1 .............. (1)

5x + 4y = 14 .............. (2)

now

let , equation (1) is multiplied by 4 &

equation (2) is multiplied by 3

we get ,

8x - 12y = 4 ......... (3)

15x + 12y = 42 ......... (4)

now add equation(3) in equation(4)

we get ,

23x = 46

x = 2

now value of x is put in equation(1)

we get ,

2(2) - 3y = 1

4 - 3y = 1

3y = 3

y = 1

solution is (x , y) = (2 ,1)

Answer 2

Answer:

x = 2 , y =1

Step-by-step explanation:

2

x

=

1

+

3

y

dividing by  

2

we get

x

=

1

2

+

3

2

y

plugging this in the second equation

5

(

1

2

+

3

2

y

)

+

4

y

=

14

multiplying by  

2

5

(

1

+

3

y

)

+

8

y

=

28

5

+

15

y

+

8

y

=

28

collecting like Terms

23

y

+

5

=

28

substracting  

5

and dividing by  

23

y

=

1

so we get

x =1 2 + 3 2 = 4 2 = 2