Respuesta :

[tex]\begin{gathered} _{\text{ }}Let\colon \\ \begin{cases}2x+3y=12_{\text{ }}(1) \\ 5x-y=13_{\text{ }}(2)\end{cases} \end{gathered}[/tex]

Using elimination:

[tex]\begin{gathered} (1)+3(2) \\ 2x+15x+3y-3y=12+39 \\ 17x=51 \\ x=\frac{51}{17} \\ x=3 \end{gathered}[/tex]

Replace x into (2):

[tex]\begin{gathered} 5(3)-y=13 \\ 15-y=13 \\ y=15-13 \\ y=2 \end{gathered}[/tex]

Answer:

(3,2)

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