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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 4: Q 4.11. (page 423)

Complete the table to find three solutions to this equation:

Short Answer

Expert verified

The completed table of values is shown:

$x$	$y$	$(x, y)$
$0$	$- 1$	$(0, - 1)$
$- 1$	$- 4$	$(- 1, - 4)$
$2$	$5$	$(2, 5)$

Step by step solution

01

Step 1. Given Information

The given equation are $y = 3 x - 1$ .

02

Step 2. Find the equation

Substitute $x = 0, x = - 1,$ and $x = 2$ into $y = 3 x - 1 .$

$x = 0 y = 3 x - 1 y = 3 (0) - 1 y = - 1$

Therefore, one of the point on the line is $(0, - 1) .$

$x = - 1 y = 3 x - 1 y = 3 (- 1) - 1 y = - 3 - 1 y = - 4$

Therefore, one of the point on the line is $(- 1, - 4)$

$x = 2 y = 3 x - 1 y = 3 (2) - 1 y = 6 - 1 y = 5$

Therefore, one of the point on the line is $(2, 5) .$

03

Step 3. Table of values

The table of value shown:

$x$	$y$	$(x, y)$
$0$	$- 1$	$(0, - 1)$
$- 1$	$- 4$	$(- 1, - 4)$
$2$	$5$	$(2, 5)$

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Most popular questions from this chapter

In the following exercise, name the ordered pair of each point shown in the rectangular coordinate system :

In the following exercises, find three solutions to each linear equation.

$x + y = - 1$

In the following exercises, which order pair are solution to the given equation :

$4 x - 2 y = 8$

(a) $(3, 2)$ (b) $(1, 4)$ (c) $(0, - 4)$

Find three solutions to the equation $2 x + 3 y = 6 .$

In the following exercises, find the equation of a line with a given slope and $y$ -intercept. Write the equation in slope-intercept form.

$386 .$ slope $3$ and $y$ -intercept $(0, 5)$

See all solutions

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