Question

x + y = 16, sabendo que x/y = 4/8

Answer 1

Resposta:

A={ 16/3 ; 32/3}

Explicação passo-a-passo:

x+y=16

x=(16-y)

x/y=4/8

(16-y)/y=4/8

4.y=8.(16-y)

4y=128-8y

4y+8y=128

12y=128

y=128/12

y=128÷2/12÷2

y=64/6

y=64÷2/6÷2

y=32/3

x+y=16

x=16-y

x=16-32/3

x=48-32/3

x=16/3

Espero ter ajudado!

Answer 2

Explicação passo-a-passo:

$x+y=16\\ \\{x\over y}={4\over8}\\ \\ isola~~x\\ \\ x=16-y\\ \\ substituir~~em\\ \\ {x\over y}={4\over8}\\ \\ {16-y\over y}={4\over8}\\ \\ 4y=8(16-y)\\ 4y=128-8y\\ 4y+8y=128\\ 12y=128\\ \\ y={128\over12}={128:4\over12:4}={32\over3}\\ \\\fbox{ y={32\over3} }\\ \\ se\\ x=16-y\\ \\ x=16-{32\over3}\\ \\ x={48-32\over3}\\ \\\fbox{ x={16\over3} }$