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(6,1) is a solution to the system:−2+=−11 −−9=−15 true or false

User Smercer
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To prove that (6,1) is a solution to the system, we have to evaluate it in each equation, if it satisfies both equations, then it's a solution to the system.

EVALUATING (6,1) IN THE FIRST QUESTION.


\begin{gathered} -2x+y=-11 \\ -2\cdot6+1=-11 \\ -12+1=-11 \\ -11=-11 \end{gathered}

As you can observe, the given coordinated pair satisfies the first equation.

EVALUATING (6,1) IN THE SECOND EQUATION.


\begin{gathered} -x-9y=-15 \\ -6-9\cdot1=-15 \\ -6-9=-15 \\ -15=-15 \end{gathered}

The pair also satisfies the second equation.

Therefore, (6,1) is a solution to the given system, the statement is true.

User Karvoynistas
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