Here are the essential concepts you must grasp in order to answer the question correctly.
Ordered Pairs
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 coordinate plane, the first element indicates the horizontal position, while the second indicates the vertical position. Understanding ordered pairs is essential for evaluating whether they satisfy a given equation.
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Substitution in Equations
Substitution involves replacing variables in an equation with specific values to determine if the equation holds true. In this case, substituting the values from the ordered pair (2, 5) into the equation 3y - 2x = -4 allows us to check if the left-hand side equals the right-hand side. This process is fundamental in verifying the validity of statements involving equations.
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Linear Equations
A linear equation is an equation that represents a straight line when graphed on a coordinate plane. It typically takes the form Ax + By = C, where A, B, and C are constants. Understanding the properties of linear equations, including how to manipulate and evaluate them, is crucial for determining the truth of statements involving specific points and their relationship to the equation.
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