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Find the values of x, y, z if :-

5x + 20y + 50z = 500

&

x + y + z = 20

Questioner:Prateek

Country:India

Category:Advanced Math

Private:No

Subject:Maths

Question:

Find the values of x, y, z if :-

5x + 20y + 50z = 500

&

x + y + z = 20

...................................

Sincy you have two equations and three variables, you will need a parameter.

Start by reducing:

5x + 20y + 50z = 500

to

x + 4y + 10z = 100 (you could have done that)

Take x + y + z = 20 and solve:

x = 20 - y - z

Substitute:

(20 - y - z) + 4y + 10z = 100

3y + 9z = 80

Now set z = t (it could be y, and you could choose any parameter) and

1. Solve for y in terms of t.

2. Go back and solve for x in terms of t.

Done.

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