College Algebra Unit 5

Solving by Substitution

100

Solve the systems of equations:

-3x + 4y = -2

y = -5

(-6, -5)

200

Solve the systems of equations:

y= 7x - 10

y = -3

(1, -3)

300

Solve the systems of equations:

y = 6x

y = 5x +7

(7,42)

400

Solve the systems of equations:

y = 5x

 y= 2x - 15

(-5, -25)

500

Solve the systems of equations:

-4x+y = 20

4x - 3y = -20

( -5, 0)

Solving by Elimination

100

Solve the systems of equations:

14x + 2y = 26

-14x - 6y = -50

(1, 6)

200

Solve the systems of equations:

3x -6y = -9

10x +6y = -30

(-3,0)

300

Solve the systems of equations:

-15x + 6y = -36

8x - 6y = 22

(2, -1)

400

Solve the systems of equations:

-3x - 24y = -66

3x + 4y = -14

(-10, 4)

500

Solve the systems of equations:

6x +4y = 26

-4x - 8y = 20

(9, -7)

Basic Matrix Operations/Ideas

100

Turn the following matrix in RREF into a solution in the proper form

[[1,0,0,2],[0,1,0,-3],[0,0,1,4]]

(2,-3,4)

200

[[3,-5],[-2,7]]+[[-2,6],[3,-6]]

[[1,1],[1,1]]

300

Turn the following matrix in RREF into a solution in the proper form

[[1,0,0,5],[0,1,0,-3],[0,0,0,2]]

No Solution

0ne2

400

-2[[1,3],[3,-5]]+3[[-2,7],[4,-3]]

[[-8,15],[6,1]]

500

Turn the following matrix in RREF into a solution in the proper form

[[1,0,2,3],[0,1,1,-2],[0,0,0,0]]

Infinitely Many Solutions

( 3-2z , -2-z , z )

Solve using Matrices

100

Solve the system of equations using matrices

x+2y=-3

x-3y=17

(5,-4)

200

Solve the system of equations using Matrices

-x+5y=27

3x-2y=-3

(3,6)

300

Solve the system of equations using Matrices

2x+5y=-13

x-4y=13

(1,-3)

400

Solve the system of equations using Matrices

4x+2y=-2

3x-2y=-12

(-2,3)

500

Solve the system of equations using Matrices

2x+3y=7

5x-y=9

(2,1)