The given equations are
- 7x - 4y = 4
3x + 9y = - 9
We would solve both equations simultaneously. We would apply the method of elimination. To eliminate y, we would multiply the first equation by 9 and the second equation by 4. The new equations would be
- 63x - 36y = 36
12x + 36y = - 36
Adding both equations, we have
- 63x + 12x - 36y + 36y = 36 - 36
- 51x = 0
Dividing both sides of the equation by - 51, we have
- 51x/- 51 = 0/- 51
x = 0
Substituting x = 0 into - 7x - 4y = 4, we have
- 7 * 0 - 4y = 4
0 - 4y = 4
- 4y = 4
Dividing both sides of the equation by - 4, we have
- 4y/- 4 = 4/- 4
y = - 1
The correct option is (0, - 1)
