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Ch. 5 - Systems of Equations and Inequalities
Blitzer - College Algebra 8th Edition
Blitzer8th EditionCollege AlgebraISBN: 9780136970514Non è quello che usi tu?Cambia libro di testo
Capitolo 6, Problema 86

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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1
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+2y=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-2y=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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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.
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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.
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