Q7. - Algebra 2

Question

Choose the letter of the term that best matches each phase.

7. The solution of a system of equations in three variables $\left(x,y,z\right)$

Step-by-Step Solution

Answer

The solution of a system of equations in three variables$\left(x,y,z\right)$ (b) ordered triple.

Step-1 –Concept of ordered triple

In general, a solution of a system three variable is an ordered triple $\left(x,y,z\right)$that means all three equations are true.

Step-2 –Example of ordered triple

An ordered triple is a list of three elements written in certain order. As with ordered pairs, order is important. For example, the numbers $1,2$and $3$can form $6$ ordered triple$\left(1,2,3\right),\left(1,3,2\right),\left(2,1,3\right),\left(3,1,2\right),\left(3,2,1\right)$.

Step-3 –Match the term with phrase

Hence, by the above data we can say, the solution of a system of equations in three variables$\left(x,y,z\right)$ (b) ordered triple.