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1
Marks: --/7
Classify the following system of equations as independent, dependent or inconsistent.
2x + 3y = 5
6y = -4x + 10
Choose one answer.
a. Inconsistent
b. Dependent
c. Independent
question 2
3x + x +3z = 10
x + 4z = 13
5x = 5
Choose one answer.
a. (3, -2, 1)
b. (1, 3, -2)
c. (-1, 3, -3)
d. (1, -2, 3)
question 3
x + y + 3z = 14
y - 4z = -11
3y = 15
Choose one answer.
a. (5, 4, -3)
b. (-3, 5, 4)
c. (4, -3, 5)
d. (-2, 7, -4)
4
Marks: --/7
Classify the following system of equations as independent, dependent or inconsistent.
x + y = 2
y = 3x - 14
Choose one answer.
a. Inconsistent
b. Independent
c. Dependent
Question 5
Marks: --/7
Classify the following system of equations as independent, dependent or inconsistent.
2x - y = 4
-4x + 2y = 10
Choose one answer.
a. Independent
b. Dependent
c. Inconsistent
Question 6
Marks: --/7
Classify the following system of equations as independent, dependent or inconsistent.
x + y = -7
y = 2x + 8
Choose one answer.
a. Inconsistent
b. Dependent
c. Independent
Question 7
Marks: --/5
Determine if (5, -2) is a solution to the system of equations:
4x - 3y = 26
2x + y = 8
Choose one answer.
a. Yes
b. No
9
Marks: --/7
Classify the following system of equations as independent, dependent or inconsistent.
6x + 6y = -42
3y = -3x - 21
Choose one answer.
a. Dependent
b. Independent
c. Inconsistent
11
Marks: --/7
Classify the following system of equations as independent, dependent or inconsistent.
x + y = -2
y = -x + 13
Choose one answer.
a. Dependent
b. Independent
c. Inconsistent
Question 12
Marks: --/5
Determine if (0, 2) is a solution to the system of equations:
x + 3y = 6
-x + y = 8
Choose one answer.
a. No
b. Yes
Solution
Classify the following systems of equations as consistent, inconsistent, or dependent WITHOUT
using any of the previous methods. (graphing, elimination, substitution) (4x + 3y = 7 ) (2x – y
= 10) -------------------- Rewrite in slope-intercept form: y = (-4/3)x + (7/3) y = 2x - 10 -------------
------- The slopes are different so the lines intersect at one point. Therefore the system is
consistent.
1 Marks- ---7 Classify the following system of equations as independen.docx

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1 Marks- ---7 Classify the following system of equations as independen.docx

  • 1. 1 Marks: --/7 Classify the following system of equations as independent, dependent or inconsistent. 2x + 3y = 5 6y = -4x + 10 Choose one answer. a. Inconsistent b. Dependent c. Independent question 2 3x + x +3z = 10 x + 4z = 13 5x = 5 Choose one answer. a. (3, -2, 1) b. (1, 3, -2) c. (-1, 3, -3) d. (1, -2, 3) question 3 x + y + 3z = 14 y - 4z = -11 3y = 15 Choose one answer. a. (5, 4, -3) b. (-3, 5, 4) c. (4, -3, 5) d. (-2, 7, -4) 4 Marks: --/7 Classify the following system of equations as independent, dependent or inconsistent. x + y = 2 y = 3x - 14 Choose one answer. a. Inconsistent b. Independent c. Dependent Question 5 Marks: --/7 Classify the following system of equations as independent, dependent or inconsistent.
  • 2. 2x - y = 4 -4x + 2y = 10 Choose one answer. a. Independent b. Dependent c. Inconsistent Question 6 Marks: --/7 Classify the following system of equations as independent, dependent or inconsistent. x + y = -7 y = 2x + 8 Choose one answer. a. Inconsistent b. Dependent c. Independent Question 7 Marks: --/5 Determine if (5, -2) is a solution to the system of equations: 4x - 3y = 26 2x + y = 8 Choose one answer. a. Yes b. No 9 Marks: --/7 Classify the following system of equations as independent, dependent or inconsistent. 6x + 6y = -42 3y = -3x - 21 Choose one answer. a. Dependent b. Independent c. Inconsistent 11 Marks: --/7 Classify the following system of equations as independent, dependent or inconsistent.
  • 3. x + y = -2 y = -x + 13 Choose one answer. a. Dependent b. Independent c. Inconsistent Question 12 Marks: --/5 Determine if (0, 2) is a solution to the system of equations: x + 3y = 6 -x + y = 8 Choose one answer. a. No b. Yes Solution Classify the following systems of equations as consistent, inconsistent, or dependent WITHOUT using any of the previous methods. (graphing, elimination, substitution) (4x + 3y = 7 ) (2x – y = 10) -------------------- Rewrite in slope-intercept form: y = (-4/3)x + (7/3) y = 2x - 10 ------------- ------- The slopes are different so the lines intersect at one point. Therefore the system is consistent.