Math CentralQuandaries & Queries


Question from Michael, a student:

2P + 1/3V =8
3P - 2/V=5

Hi Michael,

Looking at the equations

2P &+& \frac13 V &=& 8\\
3P &-& \frac{2}{V} &=&5.

The immediate task is to eliminate one of the variables so that you have one equation in one unknown. You can achieve this by multiplying the first equation by 3 and the second equation by 2. This will result in two equations with the same coefficient for $P.$ Then if you subtract the two equations you will be left with one equation in the variable $V.$

Try this and if you need further help let us know what you got and where you are stuck,

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