Mth215 Week4 Hw
M A C O
mth215Week4Hw.pdf
Current Score : – / 72 Due : Sunday, September 2 2018 12:00 AM PDT
1. –/1 pointsAufCAT8 9.1.007.MI.
Solve the system of equations by the substitution method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
2. –/1 pointsAufCAT8 9.1.011.
Solve the system of equations by the substitution method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
Homework 4 (Homework)
Mary Ann Carissa Oledan MTH 215 (1808), section 1808, Summer 2 2018 Instructor: Victor Zinenberg
WebAssign
3x + 4y = 36 y = −2x + 6
(x, y) =
6x + 5y = 7 x − 3y = 5
(x, y) =
3. –/1 pointsAufCAT8 9.1.013.
Solve the systems of equations by using the substitution method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
4. –/1 pointsAufCAT8 9.1.015.
Solve the systems of equations by using the substitution method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
7x + 6y = −21
y = x − 9 2 3
(x, y) =
y = 3x − 5 y = 5x − 7
(x, y) =
5. –/1 pointsAufCAT8 9.1.018.
Solve the systems of equations by using the substitution method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
6. –/1 pointsAufCAT8 9.1.020.
Solve the systems of equations by using the substitution method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
18x − 12y = 18 −6x + 4y = 14
(x, y) =
6x + 7y = −4 2x + 5y = 4
(x, y) =
7. –/1 pointsAufCAT8 9.1.025.
Solve the system of equations by the elimination method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
8. –/1 pointsAufCAT8 9.1.035.
Solve the system of equations by the elimination method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
3x − y = 9 4x + 3y = −1
(x, y) =
x − y = −24
x + y = 4
5 6
1 3
1 6
2 3
(x, y) =
9. –/2 pointsAufCAT8 9.1.047.
Solve by using a system of equations.
Flying with the wind, a plane traveled 420 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind.
rate of plane mph
rate of wind mph
10.–/1 pointsAufCAT8 9.1.027.
Solve the system of equations by the elimination method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
4x + 7y = 56 5x − 4y = −32
(x, y) =
11.–/1 pointsAufCAT8 9.2.501.XP.
Solve the system of equations. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
12.–/1 pointsAufCAT8 9.2.502.XP.MI.
Solve the system of equations. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
x + 3y − 5z = 20 5x − y + z = 22 3x + 5y − 3z = 24
(x, y, z) =
2x − 5y + 3z = −46 3x + 2y − z = 6 x − 3y − 4z = 2
(x, y, z) =
13.–/2 pointsAufCAT8 9.3.007.
Solve the system of equations. (If there is no solution, enter NO SOLUTION.)
y = 3x2 − 5x − 3 y = x − 4
(x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
14.–/2 pointsAufCAT8 9.3.013.MI.
Solve the system of equations. (If there is no solution, enter NO SOLUTION.)
2x − y = 1 xy = 6
(x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
15.–/1 pointsAufCAT8 9.5.008.
Sketch the graph of the inequality.
x + y > −1
16.–/1 pointsAufCAT8 9.5.009.
Sketch the graph of the inequality.
y ≥ 5x + 2
17.–/1 pointsAufCAT8 9.5.015.
Sketch the graph of the inequality.
y < 6x2
18.–/1 pointsAufCAT8 9.5.035.
Sketch the graph of the solution set of the system of inequalities.
2x + 3y < 9 3x − 2y ≥ −8
19.–/24 pointsAufCAT8 10.1.001.
Write the augmented matrix, the coefficient matrix, and the constant matrix of the system of equations.
augmented matrix
coefficient matrix
constant matrix
20.–/1 pointsAufCAT8 10.1.014.
Use elementary row operations to write the matrix in row echelon form.
5x − 2y + z = −17 3x − 3y + 2z = −11 x + 3z = 3
1 2 4 1 2 2 7 3
3 6 8 −1
21.–/1 pointsAufCAT8 10.1.022.
Solve the system of equations by the Gaussian elimination method. (If the system is dependent, enter a general solution in terms of If there is no solution, enter NO SOLUTION.)
22.–/1 pointsAufCAT8 10.1.025.
Solve the system of equations by the Gaussian elimination method. (If the system is dependent, enter a general solution in terms of If there is no solution, enter NO SOLUTION.)
c1, c2, .
−x + 3y = −15 5x − 2y = −3
(x, y) =
c1, c2, .
x + 2y − 2z = 7 5x + 9y − 4z = 26 3x + 4y − 5z = 25
(x, y, z) =
23.–/1 pointsAufCAT8 10.1.021.
Solve the system of equations by the Gaussian elimination method. (If the system is dependent, enter a general solution in terms of If there is no solution, enter NO SOLUTION.)
c1, c2, .
x + 5y = 41 4x + 3y = 28
(x, y) =
24.–/4 pointsAufCAT8 10.2.009.MI.
Consider the following.
(a) Find A + B.
(b) Find
(c) Find 2B.
(d) Find
A =
−1 −1 5
1 0 −2 B =
−3 1 2
2 5 −3
A − B.
2A − 3B.
25.–/4 pointsAufCAT8 10.2.011.
Consider the following.
(a) Find A + B.
(b) Find A − B.
(c) Find 2B.
(d) Find 2A − 3B.
A = B = −3 3
3 −3 −1 0
3 1 1 −3 3 −3
26.–/4 pointsAufCAT8 10.2.013.MI.
Consider the following.
(a) Find
(b) Find
(c) Find 2B.
(d) Find
A = B =
−2 3 −1 0 −1 2
−4 3 3
0 −2 −2 2 3 −1
3 −1 2
A + B.
A − B.
2A − 3B.
27.–/1 pointsAufCAT8 10.3.006.
Find the inverse of the given matrix. (If the answer does not exist, enter DNE in any single blank.)
28.–/1 pointsAufCAT8 10.3.007.
Find the inverse of the given matrix. (If the answer does not exist, enter DNE in any single blank.)
29.–/1 pointsAufCAT8 10.3.021.
Solve the system of equations by using the inverse matrix method.
1 2
−2 −3
1 4
2 10
x + 4y = 24 2x + 7y = 43
(x, y) =
30.–/1 pointsAufCAT8 10.3.022.
Solve the system of equations by using the inverse matrix method.
31.–/1 pointsAufCAT8 10.4.001.
Evaluate the determinant.
32.–/1 pointsAufCAT8 10.4.002.
Evaluate the determinant.
2x + 3y = 17 x + 2y = 12
(x, y) =
6 −1 2 4
8 4 −3 8
33.–/2 pointsAufCAT8 10.4.008.
Evaluate the indicated minor and cofactor for the following determinant.
M13 =
C13 =
34.–/1 pointsAufCAT8 10.4.047.MI.
Solve the system of equations by using Cramer's Rule.
3 −2 3 1 3 0 4 −3 3
5x + 4y = −9 3x − 6y = 1
(x, y) =
35.–/1 pointsAufCAT8 10.4.049.
Solve the system of equations by using Cramer's Rule.
36.–/1 pointsAufCAT8 10.4.053.
Solve the system of equations by using Cramer's Rule.
16x + 3y = 0 3x + y = −7
(x, y) =
3x − 4y + 2z = 4 x − y + 2z = −3
2x + 2y + 3z = −2
(x, y, z) =
