Construct a linear system

[orgekas]

Construct a linear system determined by four numbers whose sum is 40, with the first there numbers adding up to 20 and the last three to 30.

a) Explain why this has infinitely many solutions.

b)Add another condition on the numbers so that a unique solution can be found and then find this solution

 

[Deleted member 4993]

Construct a linear system determined by four numbers whose sum is 40, with the first there numbers adding up to 20 and the last three to 30.

a) Explain why this has infinitely many solutions.

b)Add another condition on the numbers so that a unique solution can be found and then find this solution

Start with defining your variables - x₁, x₂, x₃ & x₄

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

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[stapel]

Construct a linear system determined by four numbers whose sum is 40, with the first there numbers adding up to 20 and the last three to 30.

a) Explain why this has infinitely many solutions.

How many equations do you have? How many variables do you have? If you try to solve this (say, with row operations or with matrices), what sort of solution will you get?