Answer:
x=-2.25,y=-2.25
Step-by-step explanation:
The given system is
[tex]4x - y = - 9 \\ 3x - 3y = 0[/tex]
We want to solve the system for x and y that makes the system true.
Let us multiply the first equation by 3 while maintaining the second equation:
[tex]12x -3 y = - 27 \\ 3x - 3y = 0[/tex]
Subtract the current second equation from the first one.
[tex]12x = - 27[/tex]
Divide through by 12:
[tex]x = - \frac{27}{12} = - 2.25[/tex]
From the second equation we have:
[tex]3x = 3y[/tex]
This implies that:
[tex]x = y = - 2.25[/tex]
