Exercises 86–88 will help you prepare for the material covered in the first section of the next chapter. a. Does (4, −1) satisfy x + 2y = 2? b. Does (4, -1) satisfy x- 2y= 6?

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Identify the given point (4, -1) where x = 4 and y = -1.

For part (a), substitute x = 4 and y = -1 into the equation

x + 2 y = 2

. This means calculate

4 + 2 	imes (-1)

Simplify the left side of the equation after substitution to see if it equals 2.

For part (b), substitute x = 4 and y = -1 into the equation

x - 2 y = 6

. This means calculate

4 - 2 	imes (-1)

Simplify the left side of the equation after substitution to check if it equals 6.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Ordered Pairs and Coordinates

An ordered pair (x, y) represents a point in the coordinate plane, where x is the horizontal value and y is the vertical value. Understanding how to interpret these pairs is essential for substituting values into equations.

Substitution in Equations

Substitution involves replacing variables in an equation with given values to check if the equation holds true. This process helps determine whether a point lies on the graph of the equation.

Linear Equations in Two Variables

A linear equation like x + 2y = 2 represents a straight line on the coordinate plane. Knowing how to work with these equations allows you to verify if specific points satisfy the equation by making the equation true.