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Determine which ordered pairs, if any, are solutions to the system.

Determine which ordered pairs, if any, are solutions to the system.-example-1
User Taras Boychuk
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1 Answer

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30 votes

We will determine te ordered pairs that are solution as follows:

*First pair (5, 1):


\begin{cases}-4(5)+(1)=19 \\ 2(5)+5(1)=7\end{cases}\Rightarrow\begin{cases}-19\\e19 \\ 15\\e7\end{cases}

So, the first pair is not a solution.

*Now, we test (-4, 3):


\begin{cases}-4(-4)+(3)=19 \\ 2(-4)+5(3)=7\end{cases}\Rightarrow\begin{cases}19=19 \\ 7=7\end{cases}

So, the pair (-4, 3) is solution of the system.

User Early
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