Given
[tex]\begin{gathered} y=\frac{7}{5}x-\frac{3}{5}....Equation\text{ i} \\ \\ 7x-5y=8...Equation\text{ ii} \end{gathered}[/tex]Solution
multiply all through by 5 equation
We have
[tex]5y=7x-3\text{ ...equation iii}[/tex][tex]\begin{gathered} Rearrange\text{ equation iii} \\ -7x+5y=-3 \\ \end{gathered}[/tex]We have
[tex]\begin{gathered} -7x+5y=-3...Equation\text{ iii} \\ \end{gathered}[/tex]Add equation ii and Equation iii
[tex]\begin{gathered} 7x-5y=8\text{ ....Equation ii} \\ -7x+5y=-3\text{ ....Equation iii} \end{gathered}[/tex]We now have
[tex]0=5[/tex]This means NO SOLUTION