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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 4.14. (page 425)

Complete the table to find three solutions to this equation:

Short Answer

Expert verified

The required table is shown:

$x$	$y$	$(x, y)$
$0$	$- 3$	$(0, - 3)$
$4$	$0$	$(4, 0)$
$- 4$	$- 6$	$(- 4, - 6)$

Step by step solution

01

Step 1. Given Information

The given equation are $3 x - 4 y = 12$ .

02

Step 2. Find the equation

Substitute the given value into the equation $3 x - 4 y = 12$ and solve for the other variable. Then, fill in the values in the table.

Substitute $x = 0$ in equation

$3 x - 4 y = 12 3.0 - 4 y = 12 y = - 3$

Therefore, one of the point on the line is $(0, - 3)$

Substitute $y = 0$ in equation

$3 x - 4 (0) = 12 3 x = 12 x = 4$

Therefore, one of the point on the line is $(4, 0) .$

Substitute $x = - 4$ in equation

$3 x - 4 y = 12 3 (- 4) - 4 y = 12 - 12 - 4 y = 12 - 4 y = 24 y = - 6$

Therefore, one of the point on the line is $(- 4, - 6) .$

03

Step 3. Table

The completed table is shown:

$x$	$y$	$(x, y)$
$0$	$- 3$	$(0, - 3)$
$4$	$0$	$(4, 0)$
$- 4$	$- 6$	$(- 4, - 6)$

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Most popular questions from this chapter

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

ⓐ $(- 4, 2)$ ⓑ $(- 1, - 2)$ ⓒ $(3, - 5)$ ⓓ $(- 3, 5)$ ⓔ $(\frac{5}{3}, 2)$

Find the intercepts for $3 x - 5 y = 30$

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

$x + y = 6$

In the following exercises, plot each point in a rectangular coordinate system

(a) $(- 3, 0)$ (b) $(0, 5)$ (c) $(0, - 2)$ (d) $(2, 0)$ (e) $(0, 0)$

Find the intercepts for $x - 2 y = 8$

See all solutions

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