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Chapter 4: Q. 407 (page 485)

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

x-y=5x+2y=-4

Short Answer

Expert verified

The solution of the system of the equation x-y=5x+2y=-4is the point of intersection (2,-3)

Step by step solution

01

Step 1. Given

The system of equation isx-y=5x+2y=-4

To find the solution of equation by graphing

02

Step 2. Find slope and y-intercept of first equation

Write the equation in the form of

x-y=5

y=x-5which is the slope-intercept form.

So, slope m=1and

b=-5

03

Step 3. Find slope and y-intercept of the second equation

Write the equation in the form of y=mx+b

x+2y=-4

2y=-4-x

y=-4-x2

which is the slope-intercept form.

So, slope m=-12and

b=-2

04

Step 4. Graph the lines

Graph the equation x-y=5and

x+2y=-4

And find the point of intersection.

The point of intersection is (2,-3)

05

Step 5. Check the solution

Substitute the point (2,-3)in the equation,

x-y=5

2-(-3)=5

5=5is true.

Substitute the point (2,-3)in the equation,

x+2y=-4

2+2(-3)=-4

2-6=-4

-4=-4 is true.

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