Answer:
x = -9
y = 35/7
Step-by-step explanation:
Given equations :-
-7y - 4x = 1 ....... ( i )
7y - 2x = 53 ........ ( ii )
From ( i )
-7y = 1 + 4x
[tex]y = \frac{ - (1 + 4x)}{7} [/tex]
..........( iii )
From ( ii )
7y - 2x = 53
7y = 53 + 2x
[tex]y = \frac{53 + 2x}{7} [/tex]
.......( iv )
Equating both ( iii ) & ( iv )
y = y
[tex] \frac{ - (1 + 4x)}{7} = \frac{53 + 2x}{7} [/tex]
-(1 + 4x ) = 53 + 2x
-1 -4x = 53 + 2x
-1 - 53 = 2x + 4x
-54 = 6x
-54/6 = x
-9 = x
Also,
[tex]y = \frac{ - (1 + 4x)}{7 } \\ \\ y = - \frac{(1 + 4( - 9))}{7} [/tex]
[tex]y = - \frac{ (1 - 36)}{7} \\ \\ y = - \frac{( - 35)}{7} \\ \\ y = \frac{35}{7} [/tex]
