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Does the ordered triple satisfy the following system of equations?

Does the ordered triple satisfy the following system of equations?-example-1
User Mesutozer
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1 Answer

15 votes
15 votes

Given the ordered triple:


(-8,-5,6)

If we are to check if it satisfies the set of equations given:


\begin{gathered} -3y-2z=3 \\ -x+y=3 \\ 3x-3y+2z=3 \end{gathered}

We will simply substitute the values of


\begin{gathered} x=-8,\text{ y=-5, and z=6} \\ \text{Into the left-hand sides of the equation given and then compare with the right-hand side} \end{gathered}

For the first equation


\begin{gathered} -3(-5)-2(6)=15-12=3 \\ \text{The left-hand side equals the right-hand side } \end{gathered}

For the second equation


\begin{gathered} -(-8)+(-5)=3 \\ \text{The left-hand side equals the right-hand side } \end{gathered}

For the third question


\begin{gathered} 3(-8)-3(-5)+2(6)=3 \\ \text{The left-hand side equals the right-hand side } \end{gathered}

Since the left-hand side equals the right-hand side in the three cases, the ordered triple satisfies the systems of equation.

Thus, the correct answer is Yes

User Corey Sunwold
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