Chapter 4: Q 9 (page 385)

In the following exercises, solve the following systems of equations by graphing.
$y = \frac{3}{2} x + 1 y = - \frac{1}{2} x + 5$

Short Answer

Expert verified

The solution of the system of linear equations is (2,4).

Step by step solution

Step 1. Given information

Two linear equations are

$y = \frac{3}{2} x + 1 y = - \frac{1}{2} x + 5$

Step 2. Solving equations for the intersection points

First, solve both of these equations for y such that their slopes and y intercepts may be easily graphed.

And find the slope and y-intercept by solving the first equation for y.

$y = \frac{3}{2} x + 1 Here the slope is m = \frac{3}{2} And the y - intercept is b = 1$

And find the slope and y-intercept by solving the first equation for y

$y = \frac{3}{2} x + 1 Here the slope is m = \frac{3}{2} And the y - intercept is b = 1$

Step 3. Graph obtained

Step 4. Checking the equations

$First substitute x = 2, y = 4 into the equation y = \frac{3}{2} x + 1 y = \frac{3}{2} x + 1 4 = \frac{3}{2} (2) + 1 4 = 3 + 1 4 = 4 This is true .$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, solve the following systems of equations by graphing.
$y = \frac{3}{2} x + 1 y = - \frac{1}{2} x + 5$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solving equations for the intersection points

Step 3. Graph obtained

Step 4. Checking the equations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Geometry

Logic and Functions

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the following systems of equations by graphing.y=32x+1y=-12x+5

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solving equations for the intersection points

Step 3. Graph obtained

Step 4. Checking the equations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Geometry

Logic and Functions

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the following systems of equations by graphing.
$y = \frac{3}{2} x + 1 y = - \frac{1}{2} x + 5$