Toán Lớp 7: chứng minh nếu 2(x+y)=5(y+Z)=3(z+y) thì x-4/4=y-2/5
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Toán Lớp 7: chứng minh nếu 2(x+y)=5(y+Z)=3(z+y) thì x-4/4=y-2/5
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$\text{(x+y)/(1/2) = (y+z)/(1/5) = (z+x)/(1/3) = (x+y-z-x)/(1/2-1/3) = (z+x-y-z)/(1/3-1/5)}$
$\text{=> (y-z)/(1/2-1/3) = (x-y)/(1/3-1/5) => (y-z)/(1/6) = (x-y)/(2/15)}$
$\text{=> 6(y-z) = 15(x-y)/2 <=> 2(y-z) = 5(x-y)/2 <=> (y-z)/5 = (x-y)/4}$