(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I wish to solve the following two equations, which are related:

[tex]

h(x,y) = y \quad \text{and} \quad g(x,y) = y+x^2-bx.

[/tex]

First I set h=0, which gives me y=0. Then I insert y=0 in g, where I find x=b and x=0. All is good here.

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Now I wish to solve the same system, but I write it as follows:

[tex]

h(x,y) = y =0\cdot x + y \quad \text{and} \quad g(x,y) = y+x^2-bx.

[/tex]

Here I see that all x and y=0 satisfy h(x,y)=0, why I insert these values in g. But all x and y=0 do not satisfy g(x,y)=0 now. I know my reasoning is wrong somewhere, but I cannot see where. Can you shed some light on this simple problem?

Thanks in advance.

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# Systems of linear equations

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