Question

Assinale o conjunto solução da equação na incógnita x: 8(x – k) – 15k = 5( x – 4k)

Answer 1

$8 \ (x \ - \ k) \ - \ 15k \ \ \ = \ \ \ \ 5 \ (x \ - \ 4k) \\\\ 8x \ - \ 8k \ - \ 15k \ \ \ \ = \ \ \ \ 5x \ - \ 20k \\\\ -8k \ - \ 15k \ + \ 20k \ \ = \ \ \ 5x \ - \ 8x \\\\ -3k \ \ \ = \ \ \ -3x \\\\ k \ \ = \ \ \frac{-3x}{-3} \\\\\boxed{ \ k \ \ = \ \ x \ } \\\\ \\\\ \Rightarrow \ \ \ S(x) \ \ = \ \ \{ \ k \ \}$