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fsritrai
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neha1sara
Can you explain this further?

Find ratio of x:y:z

(1) 7x = 8z + 4y
(2) 6z = 11y + 5x

Each statement is insufficient on its own. When taken together try to get rid of one of the unknowns to get an equation with two unknowns only. Let's eliminate z. For that, multiply the first equation by 3 and the second equation by 4:
    21x = 24z + 12y
    24z = 44y + 20x

Add them:
    21x +24z = 24z + 12y + 44y + 20x;
    x = 56y

Substitute in the first equation:
    21*56y = 24z + 12y
    2z = 97y

Since y = x/56, then 2z = 97y = 97*x/56, which gives z = 97x/112.

Therefore, x:y:z = x:(x/56):(97x/112) = 1:(1/56):(97/112).

Answer: C.
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