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Step-by-step explanation:
[tex]2x - 3y = - 4.....(1) \\ - 5x + 9y = 7.....(2) \\ \\(1) \times 5 \\ 10x - 15y = - 20.....(3) \\ (2) \times 2 \\ - 10x + 18y = 14.....(4) \\ \\ (3) + (4) \\ 10x - 15y - 10x + 18y = - 20 + 14 \\ 3y = - 6 \\ y = - 2 \\ \\ (1) \\ 2x - 3 \times ( - 2) = - 4 \\ 2x + 6 = - 4 \\ 2x = - 10 \\ x = \frac{ - 10}{2} \\ x = - 5[/tex]