Download 14 practice_bspecial systems

Name _______________________________________ Date __________________ Class __________________
Practice B
Solving Special systems
Solve each system of linear equations.
y  2x  3
1. 
 y  2x  3
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 y  4 x  1
3. 
4 x   y  6
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3 x  y  4
2. 
3 x  y  7
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y  x  3  0
4. 
x  y  3
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Classify each system. Give the number of solutions.
 y  3( x – 1)
5. 
 y  3 x  3
y  2x  5
6. 
x  y  3
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7.Sabina and Lou are reading the same book.
Sabina reads 12 pages a day.
She had read 36 pages when Lou
started the book, and Lou reads at a
pace of 15 pages per day. If their
reading rates continue, will Sabina and
Lou ever be reading the same page on
the same day? Explain.
8. Brandon started jogging at 4 miles per
hour. After he jogged 1 mile, his friend
Anton started jogging along the same
path at a pace of 4 miles per hour. If they
continue to jog at the same rate, will
Anton ever catch up with Brandon?
Explain.
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© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name _______________________________________ Date __________________ Class __________________
Challenge
8. They will always have the same amount
of money.
5 x  4 y  z  865
1. 
9 x  6 y  6z  1410
The graphs of these equations are the
same line.
2. 5x  2y  20
Practice B
3. 21x  18y  3780
4. x  60
1. infinitely many solutions
2y  z  285
5. 
4 y  z  565
2. no solution
6. y  140, z  5
4. infinitely many solutions
3. no solution
7. sleeping bags: $60; tents: $140;
bug repellant: $5
one solution
1. chicken leg 8 oz.,
7. Yes. The graphs of the two equations
have different slopes. They will intersect.
chicken wing 3 oz.
2. bath towel $10,
8. No. The graphs of the two equations are
parallel lines. They will never intersect.
hand towel $5
3. adult ticket $8,
Practice C
child ticket $5
1. infinitely many solutions
4. office visit $25,
2. no solution
allergy shot $8
6. G
Reading Strategies
3. infinitely many solutions
4. no solution
5. inconsistent;
1. Multiply the first equation by 3 and the
second equation by 5 to get common
coefficients of 15.
4(9 x  10y  7) 36 x  40y  28
2. 

5(5 x  8y  31)
25 x  40 y  155
3. (1, 3)
infinitely many solutions
6. consistent, independent;
Problem Solving
5. A
5. consistent, dependent;
4. (10, 10)
SOLVING SPECIAL SYSTEMS
Practice A
1. no solution
2. infinitely many solutions
3. infinitely many solutions
4. no solution
5. infinitely many solutions;
no solution
6. consistent, independent;
one solution
7. Yes. The graphs of the two equations
have different slopes. They will intersect.
8. No. The graphs of the two equations are
parallel lines. They will never intersect.
Review for Mastery
1. infinitely many solutions
2. no solution
3. no solution
4. inconsistent;
no solutions
consistent, dependent
6. no solution;
inconsistent
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra