Answer :

adding the two equations, we have:

[tex]\begin{gathered} 2x+\frac{1}{2}y=7 \\ 6x-\frac{1}{2}y=5 \\ \text{solution is: } \\ 8x=12\text{ then,} \\ x=\frac{12}{8} \\ x=\frac{3}{2} \end{gathered}[/tex]

we find y, by replacing the value of x in either equation