Question

Resuelve por sustitucion. 2x + y = 5
x-3y = -1

Answer 1

Resuelve por sustitucion. 2x + y = 5

x-3y = -1

Resolvemos este sistema de ecuaciones.

$\left \{ {2x+{y=5} \atop {x-3y=-1}} \right. \\\\\\ 2x+y=5 \\\\\\ 2x-\red{2x}+y=5-\red{2x} \\\\\\ \boxed{y=5-2x} \\\\ Sustituimos \\\\ x-3y=-1 \\\\\\ x-3(\purple{5-2x)} =-1 \\\\\\ x-15+6x=-1 \\\\\\\ 7x-15+\blue{15}=-1+\blue{15} \\\\\\ 7x=14\\\\\\ \dfrac{7x}{\green{7}}=\dfrac{14}{\green{7}} \\\\\\ \boxed{\pink{x=2}} \\\\ Sustituimos \\\\ y=5-2x \\\\\\ y=5-2(\purple{2}) \\\\\\ y=5-4 \\\\\\ y=1$

Espero que te sirva cumpa.