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Solve the system of equations graphicallySolution=?

User Jacqualine
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1 Answer

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The given system is


\begin{cases}y=(5)/(2)x-8 \\ y=-(1)/(2)x-2\end{cases}

Given that y = y, let's combine the equations


(5)/(2)x-8=-(1)/(2)x-2

Let's solve for x


\begin{gathered} (5)/(2)x+(1)/(2)x=8-2 \\ (6)/(2)x=6 \\ 3x=6 \\ x=(6)/(3) \\ x=2 \end{gathered}

Then, we find y


y=-(1)/(2)x-2=-(1)/(2)\cdot2-2=-1-2=-3

The solution is (2, -3).

The image below shows the solution graphically.

Solve the system of equations graphicallySolution=?-example-1
User Kevin Lee Garner
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