7 02 consistent and inconsistent systems quiz 2

Question 1

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

2 points

Question 2

  1. Does the following system of equations have a solution?
    graph of lines y equals 2 x minus 5 and y equals negative 3 x plus 1

2 points

Question 3

  1. What is the approximate solution of the following system of equations?
    graph of lines y equals negative x minus 5 and y equals x plus 9

2 points

Question 4

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

2 points

Question 5

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

2 points

Question 6

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

2 points

Question 7

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

2 points

Question 8

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

2 points

Question 9

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

2 points

Question 10

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.