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Which ordered pair is not a solution to 2 + 3 = 12?

Which ordered pair is not a solution to 2 + 3 = 12?-example-1

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To check which one is not the solution of


2x+3y=12

we can substitute x and y with their values.

Let's test in order.

(0, 4) is:


\begin{gathered} x=0 \\ y=4 \\ 2\cdot0+3\cdot4=0+12=12 \end{gathered}

It matches the result, so it is a solution.

(3, 2) is:


\begin{gathered} x=3 \\ y=2 \\ 2\cdot3+3\cdot2=6+6=12 \end{gathered}

It matches the result, so it is a solution.

(2, 3) is:


\begin{gathered} x=2 \\ y=3 \\ 2\cdot2+3\cdot3=4+9=13 \end{gathered}

It doesn't match the result, so it is not a solution.

Thus, the correct answer is (2, 3).

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