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Chapter 5: Q. 392 (page 683)

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

x鈭�y=5x+2y=鈭�4

Short Answer

Expert verified

The solution set is(2,-3)

Step by step solution

01

Step 1. Given Information 

In the given exercises we have to solve the following systems by graphing.

x鈭�y=5x+2y=鈭�4
02

Step 2. Firstly graph the first equation.

To graph the line write the equation in the slope intercept form.

x鈭�y=5

Subtract xon both side

x鈭�y-x=5-x-y=-x+5

Multiply by -1on both side

-y脳(-1)=(-1)-x+5y=x-5

Now m=1andb=-5.

03

Step 3. Graph of the first equation is

04

Step 4. Now graph the second equation.

To graph the line write the equation in the slope intercept form.

x+2y=鈭�4Subtractxonbothsidex+2y-x=-x鈭�42y=-x-4Divideby2onbothside22y=-12x-42y=-12x-2

Now m=-12andb=-2

05

Step 5. Graph the second equation in the same rectangular coordinate system.

06

Step 6. Now look at the graph where line intersect.

Line intersects at the point(2,-3)

07

Step 7. Now check the point on both equation.

x鈭�y=5x+2y=鈭�42-(-3)=52+2(-3)=-42+3=52-6=-45=5-4=-4

The solution set is (2,-3)

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