Verifique que las tres rectas [math]3x+4y+4=0[/math], [math]2x−y−9=0[/math] y [math]7x+3y+1=0[/math] no son concurrentes.
De acuerdo con el problema 2.12(a), basta verificar que el determinante[br][img]data:image/png;base64,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[/img][br]es distinto de 0