Question

Resolva a equação linear:

$\left \{ {{2x + 3y = 13} \atop {3x - 3y = 10}} \right.$

Answer 1

$\mathsf{ \left \{ {{2x+3y=13} \atop {3x-3y=10}} \right. }\\ \\ \mathsf{Somando~as~linhas:}\\ \\ \mathsf{2x+3x+3y-3y=13+10}\\ \\ \mathsf{5x=23}\\ \\ \boxed{\mathsf{x=\frac{23}{5}}}\\ \\ \\ \mathsf{2x+3y=13}\\ \\ \mathsf{2(\frac{23}{5})+3y=13}\\ \\ \mathsf{\frac{46}{5}+3y=13}\\ \\ \mathsf{3y=\frac{65}{5}-\frac{46}{5}}\\ \\ \mathsf{3y=\frac{19}{5}}\\ \\ \boxed{\mathsf{y=\frac{19}{15}}}$