amyzheng0501 amyzheng0501

17-07-2016
Mathematics

contestada

what is x in terms of y if 2z = 3x and 3z = y?

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konrad509 konrad509

17-07-2016

[tex]3z=y\\ z=\dfrac{y}{3}\\\\ 3x=2\cdot\dfrac{y}{3}\\ x=\dfrac{2y}{9}[/tex]

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dalendrk dalendrk

17-07-2016

[tex]2z=3x\ \ \ |divide\ both\ sides\ by\ 2\\\\z=1.5x\\\\subtitute\ to\ 3z=y\\\\3(1.5x)=y\\\\4.5x=y\ \ \ \ |multiply\ both\ sides\ by\ 2\\\\9x=2y\ \ \ \ |divide\ both\ sides\ by\ 9\\\\\boxed{x=\frac{2}{9}y}[/tex]

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