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solve the system using the subsition method (if there is no solution put no solution if there is infinite put infinite

solve the system using the subsition method (if there is no solution put no solution-example-1
User Genna
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1 Answer

3 votes

Given Data:


\begin{gathered} p=-4t+28\ldots(1) \\ p=3t-21\ldots(2) \end{gathered}

subsitute equation (1) in equation (2) we gte,


\begin{gathered} p=3t-21 \\ p-3t=-21 \\ (-4t+28)-3t=-21 \\ -7t+28=-21 \\ -7t=-21-28 \\ -7t=-49 \\ t=(49)/(7) \\ t=7\ldots(3) \end{gathered}

subsitute t = 7 in equation (1),


\begin{gathered} p=-4t+28 \\ p=-4(7)+28 \\ p=-28+28 \\ p=0 \end{gathered}

Therefore p =0 and t =7

User Pax Vobiscum
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