Question

o valor de K no sistema
{ -2k + 5=2t
{ 2k - 2= t...........é igual a

Answer 1

$Por~~Adi\c c\~ao:\\\\\\ \begin{cases}-\not2k+5=2t\\ \underline{ ~~ \not2k-2=t~} \end{cases}\\ ~~~~~~~0k+3=3t\\\\ 3t=3\to~~t= \dfrac{3}{3} \to~~\boxed{t=1}\\\\\\ 2k-2=t\to~~2k-2=1\to~~2k=1+2\to~~2k=3\to~~\boxed{k= \dfrac{3}{2} }$

Answer 2

i) -2k + 5t = 2t
ii) 2k - 2 = t

soma i + ii

-2k + 5t + (2k - 2) = 2t + t
-2k + 5t + 2k - 2 = 3t
5t - 2 = 3t
5t - 3t = 2
2t = 2
t = 1

-2k + 5 = 2t
-2k + 5 = 2.(1)
-2k = 2 - 5
-2k = -3
k = 3/2