Chapter 4: Q 6 (page 385)

In the following exercises, solve the following systems of equations by graphing.
$- x + y = 2 2 x + y = - 4$

Short Answer

Expert verified

The solution of the system of linear equations is (-2,0).

Step by step solution

Step 1. Given information

Two linear equations are

$- x + y = 2 2 x + y = - 4$

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.

$- x + y = 2 y = x + 2$

here the slope is $m = 1$

and th y-intercept is $b = 2$

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

$2 x + y = - 4 y = - 2 x - 4$

here the slope is $m = - 2$

and y intercept is $b = - 4$

Step 3. Graph obtained

The solution of the system of linear equations is (-2,0).

Step 4. Check

Check:

First substitute

$x = - 2 y = 0$

in the equation

localid="1644947528066" $- x + y = 2 - (- 2) + 0 = 2 2 = 2$

This is true.

Similarly, substituting

localid="1644947547170" $x = - 2 y = 0$

In the equation

localid="1644947540734" $2 x + y = - 4 2 (- 2) = 0 = - 4 - 4 = - 4$

This is true.

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In the following exercises, solve the following systems of equations by graphing.
$- x + y = 2 2 x + y = - 4$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solving equations for the intersection points

Step 3. Graph obtained

Step 4. Check

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In the following exercises, solve the following systems of equations by graphing.-x+y=22x+y=-4

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solving equations for the intersection points

Step 3. Graph obtained

Step 4. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Applied Mathematics

Statistics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the following systems of equations by graphing.
$- x + y = 2 2 x + y = - 4$