Question

1. x+2y+1=0
2x - 3y -12 = 0​

Answer 1

Answer:

( x , y ) = ( 3 , -2 )

Step-by-step explanation:

x + 2y + 1 = 0    

x + 2y =  -1                      [ 1 ]

2x  - 3y - 12 = 0​

2x  - 3y  =  12​                 [ 2 ]

Multiplying [ 1 ] by 3 we get ,

3x + 6y = -3                   [ 3 ]

Multiplying [ 2 ] by 2 we get ,

4x - 6y = 24                  [ 4 ]

Adding [ 3 ] and [ 4 ] we get ,

3x + 6y = -3

4x - 6y = 24

7x = 21

x = 21 / 7

x = 3

Substituting x = 3 in [ 1 ] we get ,

x + 2y = -1

3 + 2y = -1

2y = -1 - 3

2y =  -4

y = -4 / 2

y = -2

The value of ( x , y ) for the given simultaneous equations is ( 3 , -2 ).

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