Question

sistema de ecuaciones método de suma y resta 2x+3y=13 5x-2y=4​

Answer 1

$2x + 3y = 13 \\ 2x = 13 - 3y \\ x = \frac{13 - 3y}{2} .....(i) \\ \\ \\ 5x - 2y = 4...reemplazamos \: (i) \\ 5( \frac{13 - 3y}{2} ) - 2y = 4 \\ \frac{65 - 15y}{2} - 2y = 4 \\ \frac{65 - 15y - 4y}{2} = 4 \\ 65 -1 9y = 8 \\ 65 - 8 = 19y \\ 57 = 19y \\ y = \frac{57}{19} \\ y = 3 \\ \\ entonces \: si \: y = 3 \\ x = \frac{13 - 3(3)}{2} \\ \\ x = \frac{4}{2} \\ \\ x = 2$