# week 2 quiz Solve the system of equations by elimination, calculus homework help

### QUESTION 1

1. Solve the system of equations by elimination. x = 16, y = ; x = -16, y = – ; x = 18, y = ; x = -18, y = – ; 4 points

### QUESTION 2

1. Solve the system of equations by substitution. x = 10, y = 0; (10, 0) x = 10, y = 10; (10, 10) x = 0, y = 10; (0, 10) x = 0, y = 0; (0, 10)

4 points

### QUESTION 3

1. Solve the problem.

The Paperback Trader is a book store that takes in used paperbacks for 20% of their cover price and sells them for 50% of their cover price. Pat brings in a stack of 16 paperback books to trade and gets \$17.50 credit. Some of the books had a cover price of \$7.97, the rest \$3.97. She wants to get some Tom Clancy books having a cover price of \$7.97. How many \$7.97 books did she bring in and how many Clancy books can she get without paying any additional cash?

 10 \$7.97 books, 2 Clancy books 6 \$7.97 books, 5 Clancy books 6 \$7.97 books, 4 Clancy books 6 \$7.97 books, 2 Clancy books

4 points

### QUESTION 4

1. Solve the system of equations. If the system has no solution, say that it is inconsistent. x = -8, y = -4; (-8, -4) x = 0, y = -12; (0, -12) x = 0, y = 0; (0, 0) inconsistent

4 points

### QUESTION 5

1. Solve the system of equations. If the system has no solution, say that it is inconsistent. x = 6, y = 12; (6, 12) x = , y = – ; x = 4, y = 2; (4, 2) inconsistent

4 points

### QUESTION 6

1. Solve the system of equations by substitution. x = 100, y = 27; (100, 27) x = 100, y = -27; (100, -27) x = -100, y = -27; (-100, -27) x = -100, y = 27; (-100, 27)

4 points

### QUESTION 7

1. Solve the system of equations by substitution. x = 5, y = 2; (5, 2) x = -5, y = 2; (-5, 2) x = -5, y = -2; ( -5, -2) x = 5, y = -2; (5, -2)

4 points

### QUESTION 8

1. Solve the system of equations by elimination. x = 11, y = -11; (11, -11) x = -5, y = 5; (-5, 5) x = -6, y = 5; (-6, 5) x = 5, y = -5; (5, -5)

4 points

### QUESTION 9

1. Solve the system of equations. If the system has no solution, say that it is inconsistent. x = 4, y = 4; (4, 4) x = 2, y = 3; (2, 3) x = , y = – ; ( , – ) inconsistent

4 points

### QUESTION 10

1. Solve the system of equations by elimination. x = -4, y = 0; (-4, 0) x = 0, y = -4; (0, -4) x = 0, y = 4; (0, 4) x = 4, y = 0; (4, 0)

4 points

### QUESTION 11

1. Solve the system of equations. If the system has no solution, say that it is inconsistent. x = 2, y = 3; (2, 3) x = 4, y = 2; (4, 2) x = 2, y = 4; (2, 4) inconsistent

4 points

### QUESTION 12

1. Solve the problem.

A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 7 slices of pizza and 4 soft drinks for \$31.49. The second group bought 5 slices of pizza and 6 soft drinks for \$26.61. How much does one slice of pizza cost?

 \$3.75 per slice of pizza \$1.31 per slice of pizza \$1.81 per slice of pizza \$3.25 per slice of pizza

4 points

### QUESTION 13

1. Solve the system of equations by elimination. x = 10, y = 10; (10, 10) x = 0, y = 10; (0, 10) x = 0, y = 0; (0, 0) x = 10, y = 0; (10, 0)

4 points

### QUESTION 14

1. Solve the system of equations by substitution. x = 3, y = -3; (3, -3) x = -3, y = -3; (-3, -3) x = -3, y = 3; (-3, 3) x = -3, y = 0; (-3, 0)

4 points

### QUESTION 15

1. Solve the system of equations. If the system has no solution, say that it is inconsistent. x = -9, y = -8; (-9, -8) x = , y = ; x = 9, y = 2; (9, 2) inconsistent

4 points

### QUESTION 16

1. Solve the system of equations by elimination. x = -19, y = 8; (-19, 8) x = -2, y = 19; (-2, 19) x = 19, y = -2; (19, -2) x = -19, y = 4; (-19, 4)

4 points

### QUESTION 17

1. Solve the problem.

An 8-cylinder Crown Victoria gives 18 miles per gallon in city driving and 21 miles per gallon in highway driving. A 300-mile trip required 15.5 gallons of gasoline. How many whole miles were driven in the city?

 132 mi 153 mi 147 mi 168 mi

4 points

### QUESTION 18

1. Solve the system of equations by substitution. x = -5, y = 2; (-5, 2) x = 5, y = -2; (5, -2) x = 5, y = 2; (5, 2) x = -5, y = -2; (-5, -2)

4 points

### QUESTION 19

1. Solve the system of equations by substitution. x = -1, y = -8; (-1, -8) x = 1, y = -8; (1, -8) x = 1, y = 16; (1, 16) x = -1, y = 8; (-1, 8)

4 points

### QUESTION 20

1. Solve the problem.

A movie theater charges \$8.00 for adults and \$5.00 for children. If there were 40 people altogether and the theater collected \$272.00 at the end of the day, how many of them were adults?

4 points

### QUESTION 21

1. Verify that the values of the variables listed are solutions of the system of equations. x = 4, y = 3

 solution not a solution

4 points

### QUESTION 22

1. Verify that the values of the variables listed are solutions of the system of equations. x = -1, y = 6

 solution not a solution

4 points

### QUESTION 23

1. Solve the system of equations. [Hint: Let u = and v = , and solve for u and v. Then let x = , and y = .] x = – , y = ; x = , y = – ; x = -8, y = ; x = , y = -8; 4 points

### QUESTION 24

1. Solve the system of equations by substitution. x = 7, y = -7; (7, -7) x = -6, y = 6; (-6, 6) x = 6, y = -6; (6, -6) x = -7, y = 7; (-7, 7)

4 points

### QUESTION 25

1. Solve the system of equations by substitution. x = 4, y = 0; (4, 0) x = 0, y = -4; (0, -4) x = -4, y = 0; (-4, 0) x = 0, y = 4; (0, 4)

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