Chapter 4: Q 4.17. (page 427)

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

Short Answer

Expert verified

The three possible solutions of the given equation are: $(x, y) = (0, 2), (3, 0), (6, - 2)$

Step by step solution

Step 1. Given Information

The given equation are $2 x + 3 y = 6$

Step 2. Find the equation

We can substitute any value we want for $x$ or any value for $y$ . Since the equation is in form, it will be easier to substitute in values of $x$ . Let's pick $x = 0, x = 3,$ and $x = 6 .$

Substitute $x = 0$ in equation

$2 x + 3 y = 6 2 (0) + 3 y = 6 y = 4$

The solution to the equation is $(0, 4) .$

Substitute $x = 3$ in equation

$2 x + 3 y = 6 2 (3) + 3 y = 6 6 + 3 y = 6 y = 0$

The solution to the equation is $(3, 0) .$

Substitute $x = 6$ in equation

$2 x + 3 y = 6 2 (6) + 3 y = 6 12 + 3 y = 6 y = - 2$

The solution to the equation is $(6, - 2) .$

Step 3. Table

Three solutions of the given equation are: $(0, 2), (3, 0), (6, - 2)$

$x$	$y$	$(x, y)$
$0$	$2$	$(0, 2)$
$3$	$0$	$(3, 0)$
$6$	$- 2$	$(6, - 2)$

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the equation

Step 3. Table

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Find three solutions to the equation2x+3y=6.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the equation

Step 3. Table

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Discrete Mathematics

Logic and Functions

Decision Maths

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

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