Question

Respostas para a equação

10x-3y=25
2x+3y=11
(Método de adição)

Answer 1

10x -3y = 25 
2x   +3y = 11 Método de Adição
-------------------------------------
12x +0 = 36 
12x = 36
x = 36/12
x = 3 

Substituindo 

10.3 -3y = 25
30 -3y = 25 
-3y = 25 -30 
-3y = -5(-1)
 y = 5/3 
 

Answer 2

$\text{Sistema de equa\c{c}\~oes:}\\\\\\\left\{\begin{matrix}10x-3y=25 &(1) \\2x+3y=11&(2)\end{matrix}\right.\\\\\\(1)+(2)\Rightarrow10x+2x-3y+3y=25+11\\\\\\12x=36\\\\\\x= \dfrac{36}{12}\\\\\\x=3\\\\\\\text{Substituindo x em (1):}\\\\\\10\cdot 3-3y=25\\\\\\30-3y=25\\\\\\-3y=25-30\\\\\\-3y=-5\\\\\\y=\dfrac{-5}{-3}\\\\\\y= \dfrac{5}{3}\\\\\\\text{Logo: }\left\{\begin{matrix} x=3& \\\\ y= \dfrac{5}{3} & \end{matrix}\right.$