Question

Ajude o Capitão Jack Sparrow encontrar a solução das seguintes equações do primeiro grau, sendo U = Q:
a) 2a + 5 = 9
b) 10k - 19 = 31
c) 3x + 8 = - 10
d) 9m = 63
e)5d + 21 = 10d - 19
j) 11p + 17 = 10p + 13​

Answer 1

$\large\boxed{\begin{array}{l}\sf a)\\\rm 2a+5=9\\\rm 2a=9-5\\\rm 2a=4\\\rm a=\dfrac{4}{2}\\\\\rm a=2\\\sf b)\\\rm 10k-19=31\\\rm 10k=31+19\\\rm 10k=50\\\rm k=\dfrac{5\backslash\!\!\!0}{1\backslash\!\!\!0}\\\\\rm k=5\\\sf c)\\\rm 3x+8=-10\\\rm 3x=-10-8\\\rm 3x=-18\\\rm x=-\dfrac{18}{3}\\\\\rm x=-6\end{array}}$

$\large\boxed{\begin{array}{l}\sf d)\\\rm 9m=63\\\rm m=\dfrac{63}{9}\\\\\rm m=7\\\sf e)\\\rm 5d+21=10d-19\\\rm 10d-19=5d+21\\\rm 10d-5d=21+19\\\rm 5d=40\\\rm d=\dfrac{40}{5}\\\\\rm d=8\\\sf f)\\\rm 11p+17=10p+13\\\rm 11p-10p=13-17\\\rm p=-4\end{array}}$