Question

If 3x - 4y + 7z =0, 2x - y - 2z
Evaluate x:y:z


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Answer 1

3x−4y+7z=0.....(i)2x−y−2z=0......(ii)3x3−y3−z3=8....(iii)

Applying cross multiplication on (i) and (ii)

8+7x=−6−14−y=−3+8z15x=20y=5z3x=4y=z=k⇒x=3k,y=4k,z=k

Substituting x,y and z in (iii)

⇒x=3k,y=4k,z=k3(3k)3−(4k)3+(k)3=8k3=1k=1⇒x=3,y=4,z=1