Given dystem of equations can be solved as,
[tex]\begin{gathered} 5x+6y=14 \\ 3x+5y=7 \end{gathered}[/tex]Multiplying first equation by 3 and second equation by 5.
[tex]\begin{gathered} 15x+18y=42 \\ 15x+25y=35 \\ 15x+18y-15x-25y=42-35 \\ -7y=7 \\ y=-\frac{7}{7} \\ y=-1 \\ 3x+5y=7 \\ 3x+5(-1)=7 \\ 3x-5=7 \\ 3x=7+5 \\ 3x=12 \\ x=\frac{12}{3} \\ x=4 \end{gathered}[/tex]So, the equation (x , y) is (4 , -1)
