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Example 11.8 from Prealgebra, 11.1 Use the Rectangular Coordinate System

Use the Rectangular Coordinate System: example 11.8

Determine which ordered pairs are solutions of the equation $x + 4 y = 8 :$

ⓐ $(−4, 3)$
ⓑ $(2, −4)$
ⓒ $(0, 2)$

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 the result is a true statement.

ⓐ $(0, 2)$ ⓑ $(2, −4)$ ⓒ $(−4, 3)$

$(0, 2)$ is a solution. $(2, −4)$ is not a solution. $(−4, 3)$ is 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 to the given equation: $2 x + 3 y = 6$

ⓐ $(3, 0)$
ⓑ $(2, 0)$
ⓒ $(6, −2)$

How did it go?

PreviousUse the Rectangular Coordinate System: example 11.6 Next Use the Rectangular Coordinate System: example 11.9

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.