[tex]5x + 4y = - 30 | \times ( - 3) \\ 3x - 9y = - 18 | \times 5 \\ \\ - 15x - 12y = 90 \\ 15x - 45y = - 90[/tex]
Now add 2 equations
[tex] - 57y = 0 \\ y = 0[/tex]
Now we need to put y into any equation
[tex] - 15x - 12 \times 0 = 90 \\ - 15x = 90 \\ x = - 6[/tex]
Answer: (-6;0)