4x + 5y = 5 - 10y – 4x = - 7Metodo de sustitucion?

Métododesustitución

4x + 5y = 5 - 10y – 4x = - 7

Resolvemos :

<img src="https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D4x%2B5y%3D5%5C%5C%20-10y-4x%3D-7%5Cend%7Bbmatrix%7D%20%5C%5C%20%5C%5C%20%5Ctextbf%7BM%5C%27ETODO%20DE%20SUSTITUCI%5C%27ON%3A%7D%20%5C%5C%20%5C%5C%204x%3D5-5y%20%5C%5C%20%5C%5C%20x%3D%20%5Cdfrac%7B5-5y%7D%7B4%7D%20" />

<img src="https://tex.z-dn.net/?f=%5C%5C%20%5C%5C%20%5Ctextbf%7BReemplazamos%20en%20la%20otra%20ecuaci%5C%27on%3A%7D%20%5C%5C%20%5C%5C%20-10y-4%28%5Cdfrac%7B5-5y%7D%7B4%7D%29%20%3D%20-7%20%5C%5C%20%5C%5C%20%20-10y-%285-5y%29%3D-7%20%5C%5C%20%5C%5C%20-10y-5%2B5y%20%3D-7%20%5C%5C%20%5C%5C%20-10y%2B5y%20%3D-7%2B5%20%5C%5C%20%5C%5C%20-5y%3D-2%20%5C%5C%20%5C%5C%20y%3D%20%5Cdfrac%7B-2%7D%7B-5%7D%20%5C%5C%20%5C%5C%20%20%20%5Cboxed%7By%3D%20%5Cfrac%7B2%7D%7B5%7D%20%7D" />

<img src="https://tex.z-dn.net/?f=%5Ctextbf%7BSustituimos%20en%20la%20primera%20ecuaci%5C%27on%20que%20despejamos%3A%7D%20%5C%5C%20%5C%5C%20x%3D%5Cdfrac%7B5-5%28%5Cdfrac%7B2%7D%7B5%7D%29%7D%7B4%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7Bx%3D%20%5Cdfrac%7B3%7D%7B4%7D%20%7D" />

¡Espero haberte ayudado, saludos.

G. G.

H! .