Chapter 4: Q 4.18. (page 427)

Find three solutions to the equation $4 x + 2 y = 8 .$

Short Answer

Expert verified

The points $(2, 0), (0, 4)$ and $(1, 2)$ are solutions to the equation.

Step by step solution

Step 1. Given Information

The given equation are $4 x + 2 y = 8$

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 pickrole="math" localid="1647191358283" $x = 2, x = 0, a n d x = 1 .$

Substitute $x = 2$ in equation

$4 x + 2 y = 8 4 (2) + 2 y = 8 y = 0$

Therefore, $(2, 0)$ is a solution to the equation.

Substitute $x = 0$ in equation

$4 x + 2 y = 8 4.0 + 2 y = 8 y = 4$

Therefore, $(0, 4)$ is a solution to the equation

Substitute $x = 1$ in equation

$4 x + 2 y = 8 4.1 + 2 y = 8 2 y = 4 y = 2$

Therefore, $(1, 2)$ is a solution to the equation

Step 3. Table

The point $(2, 0), (0, 4)$ and $(1, 2)$ are solutions to the equation

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

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Find three solutions to the equation $4 x + 2 y = 8 .$

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 equation4x+2y=8.

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

Pure Maths

Calculus

Applied Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

Find three solutions to the equation $4 x + 2 y = 8 .$