Substitute the x - and y -values indicated by the ordered pair to determine if it solves the sys

step 1 So substituting in the xY pair, for the first equation, I have negative 18 plus 14 equals negati

Substitute the x - and y -values indicated by the ordered...

Key Concepts

System of Linear Equations

A system of linear equations is a set of equations with two or more variables where each equation represents a line (in two dimensions) or a plane (in three dimensions). The solution to the system represents the point(s) where these lines or planes intersect, meaning the values of the variables that satisfy every equation within the system.

Substitution Method

The substitution method involves replacing the variables in an equation with specific numerical values or expressions that represent them. This is a common technique used to determine whether a given set of values is a solution to the system by directly substituting them into each equation and checking if the resulting statements are true.

Ordered Pair Evaluation

An ordered pair, typically written as (x, y), provides specific values for the variables in a system of equations. Evaluating an ordered pair involves substituting these values into each equation of the system to see if they satisfy the equations, thereby confirming if the ordered pair is indeed a solution.

Solution Verification

Solution verification is the process of confirming that a proposed solution indeed satisfies all of the equations in a system. Once the values are substituted into each equation, one checks whether both sides of each equation are equal. This process ensures the consistency and correctness of the solution within the context of the system.

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