Answer:
(0,3)
Explanation:
Given the system of equations:
[tex]\begin{gathered} 7x-4y=-12 \\ 9x-4y=-12 \end{gathered}[/tex]Subtract to eliminate y:
[tex]\begin{gathered} 7x-9x=-12-(-12) \\ -2x=0 \\ x=\frac{0}{-2} \\ x=0 \end{gathered}[/tex]Substitute x=0 to solve for y:
[tex]\begin{gathered} 7x-4y=-12 \\ 7(0)-4y=-12 \\ 0-4y=-12 \\ -4y=-12 \\ y=\frac{-12}{-4} \\ y=3 \end{gathered}[/tex]The solution to the system of equations is x=0 and y=3, that is, (0,3).