Q 330 In the following exercises, solv... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 4: Q 330 (page 479)

In the following exercises, solve the following system of equations by graphing
$3 x + y = 6 x + 3 y = - 6$

Short Answer

Expert verified

The solution to the linear equations is (3,-3).

Step by step solution

Step 1. Given information

The given linear equations are

$3 x + y = 6 x + 3 y = - 6$

Step 2. Finding the intersecting 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.

$Solve the first equation for y . and find the slope and y - intercept . 3 x + y = 6 y = - 3 x + 6 Here the slope is m = - 3 And the y - intercept is b = 6$

Again find the slope and y-intercept by solving the Second equation for y.

$x + 3 y = - 6 3 y = - x - 6 y = - \frac{1}{3} x - 2 Here the slope is m = - \frac{1}{3} And the y - intercept is b = - 2$ $x + 3 y = - 6 3 y = - x - 6 y = - \frac{1}{3} x - 2 Here the slope i s m = - \frac{1}{3} And the y - intercept is b = - 2$

Step 3. The graph obtained

$Check : First substitute x = 3, y = - 3 into the equation 3 x + y = 6 3 x + y = 6 3 (3) - 3 = 6 9 - 3 = 6 6 = 6 This is true . Also substitute x = 3, y = - 3 into the equatio n x + 3 y = - 6 x + 3 y = - 6 3 + 3 (- 3) = - 6 3 - 9 = - 6 - 6 = - 6 This is true .$

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91影视

In the following exercises, solve the following system of equations by graphing
$3 x + y = 6 x + 3 y = - 6$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the intersecting points

Step 3. The graph obtained

One App. One Place for Learning.

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91影视

In the following exercises, solve the following system of equations by graphing3x+y=6x+3y=-6

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the intersecting points

Step 3. The graph obtained

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Logic and Functions

Calculus

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the following system of equations by graphing
$3 x + y = 6 x + 3 y = - 6$