Can someone please help me with my math homework ?

Question

Which value of x satisfies both -9x + 4y = 8 and -3x − y = 4 ?

a) -1/7
b) -7/9
c) -4/7
d) -9
e) -4/3

please help !

Answer 1

The equations are -9x + 4y = 8 and - 3x - y = 4 .

Now solve the equation (2) : - 3x - y = 4 for y .

-3x - y = 4

- y  = 4 + 3x

y = - 4 - 3x

Substitute the y value in equation (1) : -9x  + 4y  = 8.

- 9x + 4(- 4 - 3x ) = 8

- 9x - 16 - 12x  = 8

-21x  - 16 = 8

-21x = 8+16

- 21x  = 24

x  = 24/-21

x  = -8/7

So the x  value is -8/7.

Thus there are no one value of x  in the options are not satisifies the both equations.