Question

Dadas as equações X - 1/6 - x - 2/9 = 1/2 e 2 Y/3 + y - 2/9 = 8 qual o valor da expressão x+y?

Answer 1

Resposta:

5.155

Explicação passo-a-passo:

$x - \frac{1}{6} - x - \frac{2}{9} = \frac{1}{2}\\\\x - x - \frac{1}{6} - \frac{2}{9} = \frac{1}{2}\\\\2x - \frac{9-12}{6*9} = \frac{1}{2}\\\\2x - (-\frac{3}{54}) = \frac{1}{2}\\\\2x + \frac{3}{54} = \frac{1}{2}\\\\2x = \frac{1}{2} - \frac{3}{54}\\\\2x = \frac{54-6}{2*54}\\\\2x = \frac{48}{108}\\\\x = \frac{48}{108*2}\\\\x = \frac{48}{216}\\\\x = 0.222$

$\frac{2y}{3} + y - \frac{2}{9} = 8\\\\\frac{2y}{3} + y = 8 + \frac{2}{9}\\\\\frac{2y+3y}{3} = \frac{72+2}{9}\\\\\frac{5y}{3} = \frac{74}{9}\\\\5y*9 = 74*3\\\\45y = 222\\\\y = 222/45\\\\y = 4.933$

$x + y = 0.222 + 4.933\\\\x + y = 5.155$