Question

-x + 2y = 3
2x – 3y = -6

Answer 1

x = -3

y = 0

Explanation:

Given equations :-

-x + 2y = 3 ....... ( i )

2x - 3y = -6 ....... ( ii )

From ( i )

-x + 2y = 3

-x = 3 - 2y

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

From ( ii )

2x - 3y = -6

2x = -6 + 3y

`x = ( - 6 + 3y)/(2)`

........ ( iv )

Equating ( iii ) and ( iv )

x = x

`2y - 3 = ( - 6 + 3y)/(2)`

4y - 6 = -6 + 3y

4y - 3y = -6 + 6

y = 0

Putting value of y in ( iii )

x = 2y - 3

x = 2 ( 0 ) - 3

x = -3