Question

como sacar el resultado de 5x-8y=-13 2x-3y=-4

Answer 1

$\left \{ {{5x-8y=-13} \atop {2x-3y=-4}} \right. \\ \\ 5x-8y=-13\to -8y= -13-5x\to y= \frac{13}{8}+ \frac{5}{8}x \\ \\ Reemplazamos \ en \ la \ 2da \ ecuaci\'on \\ \\ 2x-3y=-4 \\ \\ 2x-3( \frac{13}{8}+ \frac{5}{8}x )=-4 \\ \\ 2x- \frac{39}{8}- \frac{15}{8}x= -4 \\ \\ 2x- \frac{15}{8}x= -4 + \frac{39}{8} \\ \\ \frac{16-15}{8}x= \frac{-32+39}{8} \\ \\ \frac{1}{8}x= \frac{7}{8} \to \boxed{x=7}$

$y= \frac{13}{8}+ \frac{5}{8}*7\to y= \frac{13}{8}+ \frac{35}{8}\to \boxed{y= 6}$

Espero que te sirva, salu2!!!!