# 7 02 systems of equations quiz

### Question 1

1. A system of equations that has at least one solution is called inconsistent.
 TRUE FALSE

2 points

### Question 2

1. Does the following system of equations have a solution? yes no

2 points

### Question 3

1. What is the approximate solution of the following system of equations? (2, -7) (-7, 2) (7, 2) (-7, -2)

2 points

### Question 4

1. Solve the following system of equations by using the substitution method.
x – y = 3
2x + 2y = 2

 (3, 4) (-4, 5) (2, -1) Inconsistent

2 points

### Question 5

1. Solve the following system of equations by using the substitution method.
y = 6x – 11
-2x – 3y = -7

 (1, 2) (2, 1) (-3, 1) (2, 4)

2 points

### Question 6

1. Solve the following system of equations by using the elimination method.
x + y = 4
2x + 3y = 9

 (3, 1) (-2, 1) (3, -1) Inconsistent

2 points

### Question 7

1. Solve the following system of equations by using the elimination method.
-4x – 2y = -12
4x + 8y = -24

 (5, 3) (-6, -6) (3, 1) (6, -6)

2 points

### Question 8

1. Solve the following system of equations using matrices.
3x – 2y = 31
3x + 2y = -1

 (5, -8) (3, 5) (-3, 9) (2, 8)

2 points

### Question 9

1. Solve the following system of equations using matrices.
y = 2x – 1
6x – y = 13

 (3, 5) (-3, 5) (5, 0) Inconsistent

2 points

### Question 10

1. A laboratory employee is mixing a 10% saline solution with 4% saline solution. How much of each solution is needed to make 500 milliliters of a 6% solution.
 170 milliliters of the 10% solution and 340 milliliters of 4% solution 167 milliliters of the 10% solution and 333 milliliters of 4% solution 110 milliliters of the 10% solution and 210 milliliters of 4% solution 155 milliliters of the 10% solution and 300 milliliters of 4% solution

# Solution:

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