Question

Solve each equation using elimination.

2a+3b=12
5a- b=13

Answer 1

`\left \{ {{2a+3b=12} \atop 5a-b=13\ \ } \right. \\\\ \left \{ {{2a+3b=12} \atop {15a-3b=39}} \right. \\+-----\\ add\ both\ equations\\\\ 17a=51\ \ \ | divide\ by\ 17\\\\ a=3\\\\ b=5a-13\\\\ b=5*3-13=15-13=2\\\\ b=2`