[tex]\displaystyle\bf\\\left \{ {{12x + 7y - 2 = 0} \atop {4x - 5y - 6 = 0 \: \: | ( - 3)}} \right. \\ \displaystyle\bf\\ + \left \{ {{12x + 7y = 2} \atop { - 12x + 15y = - 18 }} \right. \\ \\ 15y + 7y = 2 - 18 \\ 22y = - 16 \\ y = - \frac{16}{22} \\ y = - \frac{8}{11} \\ \\4 x - 5 \times ( - \frac{8}{11} ) - 6 = 0 \\ 4x = - \frac{40}{11} + 6 \\ 4x = - 3 \frac{7}{11} +5 \frac{11}{11} \\ 4x = 2 \frac{4}{11} \\ x = 2 \frac{4}{11} \div 4 \\ x = \frac{26}{11 \times 4} \\ x = \frac{13}{22} [/tex]

Графики пересекаются в точке ( 13/22 ; - 8/11 )

Ответ: не пересекаются