Answer:
[tex]x = - \frac{5}{6} \\ \\ y = \frac{35}{6 } [/tex]
Step-by-step explanation:
[tex]2x + 2y = 10 \\ - 5x - 7y = - 45 \\ \\ x = 5 - y \\ 5x - 7 y = - 45 \\ \\ \\ = 5(5 - y) - 7y = - 45 \\ \\ y = \frac{35}{6} \\ \\ x = 5 - \frac{35}{6} \\ \\ x = - \frac{5}{6} [/tex]