Determine whether the ordered triple is a solution of the system. (6,-7,-5) { 3 x-2

step 1 All right, so I need to see if this order triple here is a solution to my equation or my system

Determine whether the ordered triple is a solution of the...

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Key Concepts

Solution Verification

Solution verification involves substituting the values of a proposed solution into each equation of the system to check if the equations hold true. This process confirms whether the ordered tuple is indeed a valid solution by ensuring that every equation in the system is satisfied when the candidate values are used.

Ordered Triple

An ordered triple is a specific type of ordered tuple with three elements, usually corresponding to the values of three variables in a system of equations. It provides the candidate solution for a system of three linear equations, where each element in the triple substitutes into one of the variables to check the validity of the solution.

System of Linear Equations

A system of linear equations is a set of equations in which each equation is linear in its variables. In such a system, all the equations must be simultaneously satisfied by the same values of the variables. The solution to the system is the set of values that makes every equation in the system true, and it can be represented as an ordered tuple that corresponds to the values of each variable.

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