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Example 11.9 from Prealgebra, 11.1 Use the Rectangular Coordinate System

Use the Rectangular Coordinate System: example 11.9

Determine which ordered pairs are solutions of the equation. $y = 5 x - 1 :$

ⓐ $(0, −1)$
ⓑ $(1, 4)$
ⓒ $(−2, −7)$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
Substitute the $x -$ and $(−2, −7)$ from each ordered pair into the equation and determine if it results in a true statement.

ⓐ $(0, −1)$ ⓑ $(1, 4)$ ⓒ $(−2, −7)$

$(0, −1)$ is a solution. $(1, 4)$ is a solution. $(−2, −7)$ is not a solution.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Determine which ordered pairs are solutions of the given equation: $y = 4 x - 3$

ⓐ $(0, 3)$
ⓑ $(1, 1)$
ⓒ $(1, 1)$

How did it go?

PreviousUse the Rectangular Coordinate System: example 11.8 Next Use the Rectangular Coordinate System: example 11.10

From Prealgebra (1st edition) by OpenStax (Rice University), section 11.1, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.