MatemáticasBásico1 respuestas

8p - 3q = 8 2p + 9q = 15 metodo de sustitucion?

8p - 3q = 8 2p + 9q = 15 metodo de sustitucion.

En resumen

<img src="https://tex.z-dn.net/?

Mejor respuesta

SemTa6amozosa
2

Resolviendo

<img src="https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%268p-3q%3D8%5Cquad%5CLongrightarrow%5C%20Ecuaci%5C%27on%5C%201%5C%5C%262p%2B9q%3D15%5Cquad%5CLongrightarrow%5C%20Ecuaci%5C%27on%5C%202%5Cend%7Bcases%7D%5C%5C%20%5C%5C%20%5C%5C%5Ctextbf%7BDespejamos%5C%20la%5C%20%22p%22%5C%20en%5C%20la%5C%20ecuaci%5C%27on%5C%202%5C%20y%5C%20reemplazamos%5C%20en%5C%20la%7D%5C%5C%5Ctextbf%7Becuaci%5C%27on%5C%201%3A%7D%5C%5C%20%5C%5Cp%3D%20%5Cdfrac%7B15-9q%7D%7B2%7D%5C%5C%20%5C%5C%5Ctextbf%7BEntonces%3A%7D%5C%5C%20%5C%5C8%5Cleft%28%20%5Cdfrac%7B15-9q%7D%7B2%7D%5Cright%29-3q%3D8%5C%5C%20%5C%5C%20%5C%5C%5Cnot%208%5Cleft%28%20%5Cdfrac%7B15-9q%7D%7B%20%5Cnot%202%7D%5Cright%29-3q%3D8%5Cquad%5Cto%5C%20Simplificamos%5C%5C%20%5C%5C%20%5C%5C4%2815-9q%29-3q%3D8%5C%5C%20%5C%5C60-36q-3q%3D8%5C%5C%20%5C%5C-39q%2B60%3D8%5C%5C%20%5C%5C60-8%3D39q%5C%5C%20%5C%5C52%3D39q%5C%5C%20%5C%5Cq%3D%20%5Cdfrac%7B52%7D%7B39%7D" />

<img src="https://tex.z-dn.net/?f=%20%5Cdfrac%7B%20%5Cnot%7B52%7D%7D%7B%20%5Cnot%2039%7D%3Dq%5Cquad%5Cto%5C%20Simplificamos%5C%20sacando%5C%20la%5C%2013%5Ctextdegree%5C%20ava.%5C%5C%20%5C%5C%20%5C%5C%20%5Cdfrac%7B4%7D%7B3%7D%3Dq%5Cquad%5Cto%5Cboxed%7BEl%5C%20primer%5C%20resultado.%7D%5C%5C%20%5C%5C%20%5C%5C%5Ctextbf%7BSustitu%5C%27imos%5C%20lo%5C%20que%5C%20dio%5C%20%22q%22%5C%20en%5C%20la%5C%20ecuaci%5C%27on%5C%202%3A%7D%5C%5C%20%5C%5C2p%2B9%5Cleft%28%20%5Cdfrac%7B4%7D%7B3%7D%5Cright%29%3D15%5C%5C%20%5C%5C%20%5C%5C2p%5C%20%2B%5Cnot%209%5Cleft%28%20%5Cdfrac%7B4%7D%7B%20%5Cnot%203%7D%5Cright%29%3D15%5Cquad%5Cto%5C%20Simplificamos%5C%5C%20%5C%5C%20%5C%5C2p%2B3%284%29%3D15%5C%5C%20%5C%5C2p%2B12%3D15%5C%5C%20%5C%5C2p%3D15-12%5C%5C%20%5C%5C2p%3D3%5C%5C%20%5C%5Cp%3D%20%5Cdfrac%7B3%7D%7B2%7D%5Cquad%5Cto%5Cboxed%7BEl%5C%20segundo%5C%20resultado.%7D" />

<img src="https://tex.z-dn.net/?f=%5Cmathbb%7BRESPUESTAS%3A%7D%5C%5C%20%5C%5C%5Cboxed%7B%20%5Cboxed%7Bp%3D%20%5Cfrac%7B3%7D%7B2%7D%3B%5C%20q%3D%20%5Cdfrac%7B4%7D%7B3%7D%5Cquad%5Ccheckmark%20%7D%7D%5C%5C%20%5C%5C%20%5C%5C%5Ctextbf%7BMUCHA%5C%20SUERTE...%21%21%7D" />.