I'm trying to derive a formula but can't seem to work the algebra.(adsbygoogle = window.adsbygoogle || []).push({});

I need to combine these two:

[tex]V_{1}p_{1} + V_{2}p_{2} = N[/tex]

[tex]V_{1} + V_{2} = V[/tex]

to get this:

[tex]\frac{V_{1}}{V} = \frac{p-p_{1}}{p_{2}-p_{1}}[/tex]

where [tex]p = N/V[/tex]

If anyone could show me the steps that would be a huge help. Thanks in advance!

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# Formula derivation, algebra

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