TS ICET 2017 Question Paper with Solutions for online practice

Question : 78 of 200

Marks: +1, -0

7x = 4y + 8z, 3z = 12x + 11 y ⇒ x : y : z =

Solution:

7x=4y+8z⇒7x–4y–8z=0

...(i)

3z=12x+11y⇒12x+11y–3z=0

...(ii)

Using Determinant Method :

x/{|\table-4,-8;11,-3|}={-y}/{|\table7,-8;12,-3|}=z/{|\table7,-4;12,11|}

=x/{12+88}={-y}/{-21+96}=z/{77+48}

=x/100=y/{-75}=z/125

∴x:y:z=100:–75:125=4:–3:5

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