Answer:
[tex]2x + 2y = 14 \: .....(1) \\ \\ 5x - 2y = 14 \: .....(2) [/tex]
From equation (1) ;
[tex]2x + 2y = 14 \\ \\ 2y = 14 - 2x \\ \\ y = \frac{14 - 2x}{2} \\ \\ y = 7 - x[/tex]
Substitute in equation (2)
[tex]5x - 2y = 14 \\ \\ 5x - 2(7 - x) = 14 \\ \\ 5x - 14 + 2x = 14 \\ \\ 7x = 14 + 14 \\ 7x = 28 \\ \\ x = \frac{28}{7} \\ \\ x = 4[/tex]
[tex]y = 7 - x \\ y = 7 - 4 \\ \\ y = 3[/tex]