Question

-7y-4x=1
7y-2x=53
solve for system of equations ​

Answer 1

x = -9

y = 35/7

Explanation:

Given equations :-

-7y - 4x = 1 ....... ( i )

7y - 2x = 53 ........ ( ii )

From ( i )

-7y = 1 + 4x

`y = ( - (1 + 4x))/(7)`

..........( iii )

From ( ii )

7y - 2x = 53

7y = 53 + 2x

`y = (53 + 2x)/(7)`

.......( iv )

Equating both ( iii ) & ( iv )

y = y

`( - (1 + 4x))/(7) = (53 + 2x)/(7)`

-(1 + 4x ) = 53 + 2x

-1 -4x = 53 + 2x

-1 - 53 = 2x + 4x

-54 = 6x

-54/6 = x

-9 = x

Also,

`y = ( - (1 + 4x))/(7 ) \\ \\ y = - ((1 + 4( - 9)))/(7)`

`y = - ( (1 - 36))/(7) \\ \\ y = - (( - 35))/(7) \\ \\ y = (35)/(7)`