Question

Os valores de x e y na igualdade ( 3x – 8 , 2 ) = ( 10 , y) são:

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Igualdade~de~pares~ordenados}\\\sf Dados~dois~pares~A(x_1,y_1)~e~B(x_2,y_2)\\\sf ent\tilde ao~A=B\iff x_1=x_2~e~y_1=y_2\\\sf ou~seja,s\tilde ao~iguais~quando\\\sf os~elementos~de~mesma~posic_{\!\!,}\tilde ao~s\tilde ao~iguais\end{array}}$

$\Large\boxed{\begin{array}{l}\sf (3x-8,2)=(10,y)\\\sf 3x-8=10\\\sf 3x=10+8\\\sf 3x=18\\\sf x=\dfrac{18}{3}\\\\\sf x=6\\\sf y=2\end{array}}$