Answer :
Given the following System of equations:
[tex]\begin{cases}x-5y=5 \\ 4x-11y=29\end{cases}[/tex]You can solve it using the Elimination method. Follow the steps shown below:
1. Multiply the first eqeuation by -4,
2. Add the equations.
3. Solve for the variable "y".
Then:
[tex]\begin{gathered} \begin{cases}-4x+20y=-20 \\ 4x-11y=29\end{cases} \\ ----------- \\ 9y=9 \\ y=\frac{9}{9} \\ \\ y=1 \end{gathered}[/tex]4. Now you must substitute the value of the variable "y" into any original equation.
5. Solve for the variable "x".
Then, you get:
[tex]\begin{gathered} x-5y=5 \\ x-5(1)=5 \\ x-5=5 \\ x=5+5 \\ x=10 \end{gathered}[/tex]The solution is:
[tex]\begin{gathered} x=10 \\ y=1 \end{gathered}[/tex]