Practice B LESSON 3-1 Using Graphs and Tables to Solve Linear Systems Classify each system, and determine the number of solutions. (5y = = x - 10 | y = 5 + +3 1. y = -4x + 7 (12x 12x + 3y = 21 2. 3. |x+6y=-2 12x - 6y= 0

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Practice B
LESSON
3-1 Using Graphs and Tables to Solve Linear Systems
Classify each system, and determine the number of solutions.
y = -4x + 7
(5y = x - 10
12x + 3y = 21
X
y = +3
5
1.
4. (-4, 8)
6. (4,1)
Use substitution to determine if the given ordered pair is an element
of the solution set for the system of equations. If it is not, give the
correct solution.
y = -2x
|3x + y = -4
y = 5x - 1
−
8 = 4x + y
8. (2, -1)
|2x + 3y =
3x - 4y = 5
2.
-8
Copyright by Holt, Rinehart and Winston.
All rights reserved.
5. (11,3)
Solve by graphing a system of equations.
10. A puppy pen is 1 foot longer than twice its width.
John wants to increase the length and width by
7. (5,-5)
9. (0, 3)
5 feet each to enlarge the area by 90 square feet. What
will be the area of the new pen?
4
11. Keesha has 10 more quarters than dimes, which,
together, total $11.25. How many coins does she
have in quarters and dimes?
y=x-8
|x + 4y = -2
√x + y = 10
x - y = 0
10
3x + 5y = 15
x-y=-3
9
8
7
6
5
4
3
2
1
0
50
45
40
35
30
25
20
3.
15
10
5
0
|x+6y=-2
12x - 6y = 0
0
0
1
2
3
4
5
6
X
7 8 9 10
X
5 10 15 20 25 30 35 40 45 50
Holt Algebra 2
Transcribed Image Text:Practice B LESSON 3-1 Using Graphs and Tables to Solve Linear Systems Classify each system, and determine the number of solutions. y = -4x + 7 (5y = x - 10 12x + 3y = 21 X y = +3 5 1. 4. (-4, 8) 6. (4,1) Use substitution to determine if the given ordered pair is an element of the solution set for the system of equations. If it is not, give the correct solution. y = -2x |3x + y = -4 y = 5x - 1 − 8 = 4x + y 8. (2, -1) |2x + 3y = 3x - 4y = 5 2. -8 Copyright by Holt, Rinehart and Winston. All rights reserved. 5. (11,3) Solve by graphing a system of equations. 10. A puppy pen is 1 foot longer than twice its width. John wants to increase the length and width by 7. (5,-5) 9. (0, 3) 5 feet each to enlarge the area by 90 square feet. What will be the area of the new pen? 4 11. Keesha has 10 more quarters than dimes, which, together, total $11.25. How many coins does she have in quarters and dimes? y=x-8 |x + 4y = -2 √x + y = 10 x - y = 0 10 3x + 5y = 15 x-y=-3 9 8 7 6 5 4 3 2 1 0 50 45 40 35 30 25 20 3. 15 10 5 0 |x+6y=-2 12x - 6y = 0 0 0 1 2 3 4 5 6 X 7 8 9 10 X 5 10 15 20 25 30 35 40 45 50 Holt Algebra 2
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