Question

Dada a proporção x sobre y = 2 sobre 5, calcular x e y, sabendo - se que 4x + 5y = 99

Answer 1

Resposta:

x = 6 e y = 15

Explicação passo a passo:

$\frac{x}{y} =\frac{2}{5}\implies 2y=5x \implies y=\frac{5x}{2} \\\\4x+5y=99\\\\4x+5*\ \frac{5x}{2}=99\\\\8x+25x=198\\\\33x=198\\\\x= \frac{198}{33}\\\\x=6\\\\y=\frac{5.6}{2}\\\\x=15$