Question

Resolva pela método da adição .

2x+3y=14
-x+5y=-14

Answer 1

{2x+3y=14

{-x+5y= -14 ×(2)

{2x+3y=14

+{-2x+10y=-28

13y=-14

$13y = - 14 \\ y = - \frac{14}{13}$

$2x + 3y = 14 \\ 2x + 3.( - \frac{14}{13} ) = 14 \times (13) \\ 2x \times 13 + 13 \times 3( - \frac{14}{13} ) = 182$

$26x - 42 = 182 \\ 26x = 182 + 42 \\ 26x = 224 \\ x = \frac{224}{26}$

$x = \frac{112}{13}$