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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 4.13. (page 424)

Complete the table to find three solutions to this equation:

Short Answer

Expert verified

The required table is shown:

$x$	$y$	$(x, y)$
$0$	$- 4$	$(0, - 4)$
$10$	$0$	$(10, 0)$
$- 5$	$- 6$	$(- 5, - 6)$

Step by step solution

01

Step 1. Given Information

The given equation are $2 x - 5 y = 20$ .

02

Step 2. Find the equation

Substitute the given value into the equation $2 x - 5 y = 20$ and solve for the other variable. Then, fill in the values in the table.

Substitute $x = 0$ in equation

$2 x - 5 y = 20 2 (0) - 5 y = 20 y = - 4$

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

Substitute $y = 0$ in equation

role="math" localid="1647185933429" $2 x - 5 y = 20 2 x - 5 (0) = 20 2 x = 20 x = 10$

Therefore, one of the point on the line is $(10, 0) .$

Substitute $x = - 5$ in equation

$2 x - 5 y = 20 - 2 \cdot 5 - 5 y = 20 - 10 - 5 y = 20 - 5 y = 30 y = - 6$

Therefore, one of the point on the line is $(- 5, - 6) .$

03

Step 3. Table

$x$	$y$	$(x, y)$
$0$	$- 4$	$(0, - 4)$
$10$	$0$	$(10, 0)$
$- 5$	$- 6$	$(- 5, - 6)$

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Most popular questions from this chapter

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 $(0, 5)$

Find the intercepts for $x + 2 y = 10$

Complete the table to find three solutions to this equation:

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

Which of the following ordered pairs are solutions to $2 x + 3 y = 6 ?$

role="math" localid="1647176031218" $(a) (3, 0) (b) (2, 0) (c) (6, - 2)$

See all solutions

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