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Chapter 4: Q 6 (page 385)

In the following exercises, solve the following systems of equations by graphing.

-x+y=22x+y=-4

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information 

Two linear equations are

-x+y=22x+y=-4

02

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=2y=x+2

here the slope is m=1

and th y-intercept isb=2

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

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

here the slope is m=-2

and y intercept isb=-4


03

Step 3. Graph obtained 


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

04

Step 4. Check 

Check:

First substitute

x=-2y=0

in the equation

localid="1644947528066" -x+y=2-(-2)+0=22=2

This is true.

Similarly, substituting

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

In the equation

localid="1644947540734" 2x+y=-42(-2)=0=-4-4=-4

This is true.

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