Question

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

Answer 1

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.