contestada

Solve the system of equations without graphing. Show your reasoning.

2y=x−4
4x+3y=5

Respuesta :

[tex]\displaystyle \begin{cases} 2y=x-4 \\4x+3y=5 \end{cases } \Rightarrow \ominus \left \{ {{x-4=2y} \ | \cdot 4 \atop {4x+3y=5}} \right. \Rightarrow \\\\\\ 4x-16-4x-3y=8y-5 \\\\ -3y-16=8y-5 \\\\ -3y-8y=16-5 \\\\-11y=11 \\\\ y=-1 \ \ ; \ \ x=2y+4=2 \\\\ \rm Answer : \ (2 \ ; \ -1 )[/tex]