Beginning Algebra, 11th Edition

(b)

In this ordered pair,. Find the corresponding value of xby replacing y

with in the equation.

Let

Subtract 5 from each side.

Divide each side by 4.

The ordered pair is 1 - 2 , - 32. NOW TRY

- 2 =x

- 8 = 4 x

- 3 = 4 x+ 5 y=-3.

y= 4 x+ 5

- 3

y=- 3

1 , - 32

SECTION 3.1 Linear Equations in Two Variables; The Rectangular Coordinate System 179

NOW TRY
EXERCISE 3
Complete each ordered pair
for the equation.

(a) 1 4, 2 (b) 1 , 3 2

y= 3 x- 12

OBJECTIVE 5 Complete a table of values. Ordered pairs are often displayed

in a table of values.Although we usually write tables of values vertically, they may

be written horizontally.

xy

2 3

10 1

8 0

4 - 2

• 
  

xy

2

10

0

• 2

Completing Tables of Values

Complete the table of values for each equation. Write the results as ordered pairs.

(a)

To complete the first two ordered pairs, let and , respectively, in the

equation.

If If

then then

becomes becomes

The first two ordered pairs are and. Complete the last two ordered

pairs by letting and , respectively.

If If

then then

becomes becomes

The last two ordered pairs are and. The completed table of values and

corresponding ordered pairs follow.

18 , 02 14 , - 22

x= 8. x= 4.

x- 0 = 8 x + 4 = 8

x - 2102 = 8 x - 21 - 22 = 8

x- 2 y= 8 x - 2 y= 8

y= 0 , y=- 2 ,

y= 0 y=- 2

12 , - 32 110 , 12

y= - 3. y = 1.

- 2 y= 6 - 2 y=- 2

2 - 2 y= 8 10 - 2 y= 8

x- 2 y= 8 x - 2 y= 8

x= 2 , x= 10 ,

x= 2 x= 10

x- 2 y= 8

EXAMPLE 4

Ordered Pairs

1 4, - 22

1 8, 0 2

1 10, 1 2

1 2, - 32

Each ordered pair is a solution of the given equation x- 2 y=8.

NOW TRY ANSWERS

3. (a) 1 4, 0 2 (b) 1 5, 3 2