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Example 4.5 from Elementary Algebra, 4.1 Use the Rectangular Coordinate System

Use the Rectangular Coordinate System: example 4.5

Which of the following ordered pairs are solutions to 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 y-values from each ordered pair into the equation and determine if it results in a true statement.

Your turn

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

Which of the following ordered pairs are solutions to the equation $y = 4 x - 3$ ?

ⓐ $(0, 3)$ ⓑ $(1, 1)$ ⓒ $(−1, −1)$

How did it go?

PreviousUse the Rectangular Coordinate System: example 4.4 Next Use the Rectangular Coordinate System: example 4.6

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 4.1, 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.