Here are the essential concepts you must grasp in order to answer the question correctly.
Ordered Pair
An ordered pair consists of two elements, typically represented as (x, y), where 'x' is the first element and 'y' is the second. In the context of a system of equations, an ordered pair represents a potential solution, indicating the values of the variables that may satisfy both equations simultaneously.
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System of Equations
A system of equations is a set of two or more equations with the same variables. The solution to the system is the set of values that satisfy all equations simultaneously. In this case, the system consists of two linear equations, and the goal is to determine if the given ordered pair is a solution to both.
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Substitution Method
The substitution method involves replacing one variable in an equation with an expression derived from another equation. To verify if the ordered pair (-3, 5) is a solution, substitute x = -3 and y = 5 into both equations to check if they hold true, confirming whether the pair satisfies the system.
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