You have the following System of equations:
[tex]\mleft\{\begin{aligned}5x-y=0 \\ 4x+5y=116\end{aligned}\mright.[/tex]You can solve it by using the Elimination method. The steps are:
1. In order to remove one of the variables, you can multiply the first equation by 5 and then add the equations:
[tex]\begin{gathered} \mleft\{\begin{aligned}25x-5y=0 \\ 4x+5y=116\end{aligned}\mright. \\ _{---------------} \\ 29x=116 \end{gathered}[/tex]2. Solve for "x":
[tex]\begin{gathered} x=\frac{116}{29} \\ x=4 \end{gathered}[/tex]3. Substitute the value of "x" into the first equation and solve for "y":
[tex]\begin{gathered} 5x-y=0 \\ 5(4)-y=0 \\ 20-y=0 \\ -y=-100 \\ y=20 \end{gathered}[/tex]Therefore, the solution is:
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