Respuesta :

We have a system of two equations:

[tex]\begin{gathered} 2x-y=15, \\ -2x+5y=3. \end{gathered}[/tex]

We want to reduce the system to an equation with only variables, we see that by adding the equations we can achieve that. This is because the terms with x cancel each other:

[tex]\begin{gathered} (2x-y)+(-2x+5y)=15+3, \\ 4y=18. \end{gathered}[/tex]

Answer

i) Variable x is ready to be eliminated.

ii) Adition is required to eliminate the variable.

Reason: by adding the equations we see that variable x is eliminated:

[tex]\begin{gathered} (2x-y)+(-2x+5y)=15+3, \\ 4y=18. \end{gathered}[/tex]
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