Answer
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We know that the given equations must satisfy the initial condition. Thus, we find an equation which makes the first statement true, starting with:
$$x+y=z$$
This will not be a true statement, so we multiply x by two to find an equation that will work:
$$2x+y=z....(1)$$
We now find another equation that satisfies the equation. We know that x is twice as great as y, so we find:
$$ 2y = x...(2)$$
We now find a third equation. Since z is 5 times as great as y, we can write:
$$5y=z...(3)$$