Me podrian ayudar3x + 2y = 142x - y = 7?

¡Hola!

3x + 2y = 14

2x - y = 7

Tenemos el siguiente sistema lineal formado con los datos de la pregunta, veamos : <img src="https://tex.z-dn.net/?f=%24%24%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bc%7D3x%2B2y%3D14%5C%5C2x-y%3D7%5C%5C%5Cend%7Barray%7D%5Cright.%24%24" />

Vamos a simplificar la segunda ecuación por (2)<img src="https://tex.z-dn.net/?f=%24%24%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bc%7D3x%2B2y%3D14%5C%5C2x-y%3D7%2A%282%29%5C%5C%5Cend%7Barray%7D%5Cright.%24%24" /><img src="https://tex.z-dn.net/?f=%24%24%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bc%7D3x%2B2y%3D14%5C%5C4x-2y%3D14%5C%5C%5Cend%7Barray%7D%5Cright.%24%24" /><img src="https://tex.z-dn.net/?f=%24%24%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bc%7D3x%2B2y%5C%21%5C%21%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdfrac%7B%5Chspace%7B0.4cm%7D%7D%7B~%7D%3D14%5C%5C4x-2y%5C%21%5C%21%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdfrac%7B%5Chspace%7B0.4cm%7D%7D%7B~%7D%3D14%5C%5C%5Cend%7Barray%7D%5Cright.%24%24" />

Vamos a encontrar el valor de "x", veamos : <img src="https://tex.z-dn.net/?f=%24%24%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bc%7D3x%3D14%5C%5C4x%3D14%5C%5C%5Cend%7Barray%7D%5Cright.%24%24" /><img src="https://tex.z-dn.net/?f=7x%20%3D%2028" /><img src="https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B28%7D%7B7%7D" /><img src="https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7Bx%20%3D%204%7D%7D%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5Cbf%5Cgreen%7B%5Ccheckmark%7D" />Ahora, vamos a encontrar el valor de "y" sustituyendo el valor encontrado "x" en cualquier ecuación, vamos a ver : <img src="https://tex.z-dn.net/?f=3x%2B2y%3D14" /><img src="https://tex.z-dn.net/?f=3%2A%284%29%2B2y%3D14" />[img = 10][img = 11][img = 12][img = 13][img = 14]_________________Respuestas : x = 4y = 1________________________[img = 15].