Step-by-step explanation:
5x+2y=13
2x+6y=26
[tex]5x = 13 - 2y \\ x = \frac{13 - 2y}{5} [/tex]
[tex]2( \frac{13 - 2y}{5} ) + 6y = 26[/tex]
[tex] \frac{26}{5} - \frac{4y}{5} + 6y = 26[/tex]
[tex]6y - \frac{4y}{5} = 26 - \frac{26}{5} \\ [/tex]
[tex]5.2y = 20.8 \\ y = 4 \\ x = \frac{13 - 2 \times 4}{5} = \frac{13 - 8}{5} \\ x = 1[/tex]
