Deck 10: Systems of Linear Equations

Question 1

Solve the system of equations using the addition method: -3x + y = 1
3x - 7y = 29

A)x = 2, y = 5
B)x = -5, y = -14
C)x = 5, y = 16
D)x = -2, y = -5

Answer 1

D

Question 2

Solve the following system of equations using the addition method:
x - y = 7
x + y = 5

Answer 2

(6, -1)

Question 3

Graph the system of equations. Identify the solution.

Answer 3

Question 4

Solve the system of equations using the addition method: 5x + 2y = 11
X - 2y = -5

Question 5

Solve the system of equations using the addition method: x - 2y = 8
4x + 2y = 12

A)x = 0, y = 4
B)x = -2, y = 4
C)x = 4, y = -2
D)x = 5, y = -1.5

Question 6

A)I
B)II
C)III
D)IV

Question 7

Solve the following system of equations graphically:
3x - y = 7
x - y = -1

Question 8

Solve the system of equations using the addition method: x + y = 5
-x + y= 4

Question 9

A)I
B)II
C)III
D)IV

Question 10

The solution to a system of equations can be found graphically by graphing each equation. The solution is the point of intersection of the equations. Find the solution to the system
Below:

A)(5, 4)
B)(3, 5)
C)(4, 6)
D)(4, 5)

Question 11

Solve the system of equations using the addition method: a + 3b = 13
A - 3b = -11

Question 12

Solve the following system of equations using the addition method:
x - y = 3
x + y = 5

Question 13

Solve the following system of equations using the addition method:
a + b = 1.5
a - b = 0.7

Question 14

Solve the following system of equations graphically:
4x - 2y = -6
x + 3y = 9

Question 15

Solve the following system of equations using the addition method:
2x - y = 7
3x - y = 9

Question 16

Solve the following system of equations using the addition method:
a + b = 2.5
a - b = 0.9

Question 17

Solve the system of equations using the addition method: 4x - y = 9
-x + y = -3

A)x = 5, y = 2
B)x = 2, y = -1
C)x = -1, y = -5
D)x = -1, y = 2

Question 18

Solve the system of equations using the addition method: x - 3y = 7
2x + 3y = 5

Question 19

Solve the following system of equations graphically:
2x - y = -3
x - y = 1

Question 20

Solve the system of equations by graphing:

A)

B)

C)

Question 21

Solve the following system of equations using the addition method:
2x + 4y = 10
3x - 2y = -9

Question 22

Solve the following system of equations:
2x - 3y = 8
x + 2y = -3

Question 23

Solve the system of equations using the addition method: 2x + 3y = -26
5x - y = 3

Question 24

Solve the system of equations:
2x - 5y = -3
4x + 2y = 6

Question 25

Solve the system of equations using the addition method: 2x + 5y = 19
3x + y = 9

Question 26

Solve the system of equations:
3x - 5y = 18
6x + 2y = 0

Question 27

Solve the system of equations using the addition method: x + 2y = 6
2x - 3y = -16

Question 28

Solve the system of equations using the addition method:
2x - y = 1
3x - y = 0

Question 29

Solve the following system of equations using the addition method:
3x - 2y = 6
x + 3y = 2

Question 30

Solve the system of equations using the addition method:
2x + 3y = -1
4x - 2y = -10

Question 31

Solve the system of equations using the addition method:
2y = 3x + 19
2x - y = -9

Question 32

Solve the following system of equations:
x - 2y = 4
2x - 4y = 5

Question 33

Solve the system of equations using the addition method: 2x - 5y = 2
3x + 4y = 26

Question 34

Solve the system of equations using the addition method: 3a + b = 3
A + 2b = 11

Question 35

Solve the system of equations using the addition method:
2y = 3x - 4
2x - y = 2

Question 36

Solve the system of equation using the addition method: x - 2y = -7
Y = 2x - 1

Question 37

Solve the system of equations:
3x - y = -2
x + 3y = 6

Question 38

Solve the system of equations using the addition method: x + 3y = -1
2x + 3y = -5

Question 39

Solve the system of equation using the addition method: 3a - b = 3
2a = b

Question 40

Solve the system of equations using the addition method: 5x - y = -3
2x + 3y = -25

A)(-1, -2)
B)(-5, -5)
C)(-2, -7)
D)(2, 13)

Question 41

Solve the system of equations using the addition method: x - 3y = 7
-2x + 6y = -14

Question 42

Solve the system of equations using the addition method: -3x + y = 5
6x - 2y = -10

Question 43

Solve the following system of equations using the substitution method:
2a + b = -1
a - 3b = 17

Question 44

Solve the system of equations using the addition method: 3x - 2y = 14
2x + 5y = 3

A)x = 4, y = -1
B)inconsistent; no solution
C)x = 11.5, y = 4
D)dependent; many solutions

Question 45

Solve the system of equations using the addition method: x + 3y = 6
X + 3y = 4

Question 46

Solve the system of equations using the addition method: -x + 3y = 5
2x - 6y = 8

Question 47

Solve the system of equations using the addition method: 2x + y = 13
Y = 2x+ 1

Question 48

Solve the following system of equations using the substitution method:
2m - 2n = 10
m - 3n = 7

Question 49

Solve the following system of equations using the substitution method:
3j - k = 10
k = 2 - j

Question 50

Solve the system of equations using the addition method: 3x - 5y = 5
2x + 3y = 16

A)(5, 2)
B)(10, 5)
C)dependent; no solution
D)inconsistent; no solution

Question 51

Solve the system of equations using the addition method: m - 2n =7
5m - 10n = 35

Question 52

Solve the following system of equations using the substitution method:
2j - k = 3
k = 2 + j

Question 53

Solve the following system of equations using the addition method:
2x + 3y = -1
4x - 9y = -17

Question 54

Solve the following system of equations using the substitution method:
5g - 2h = 24
g = 2h

Question 55

Solve this system of equations using the addition method: y = x + 2
Y = x - 2

A)(2,2)
B)(-2,2)
C)inconsistent; no solution
D)dependent; many solutions

Question 56

Solve the following system of equations using the substitution method:
2m - 3n = 1
m - 5n = 4

Question 57

Solve the system of equations using the addition method: 5x + y = -3
-15x - 3y = -6

Question 58

Solve the following system of equations using the substitution method:
2g - 3h = 6
g = 3h

Question 59

Solve the system of equations using the addition method: x - y =-5
-x + y =-5

A)x = -5, y = 0
B)inconsistent; no solution
C)dependent; many solutions
D)x = 0, y = 5

Question 60

Solve the following system of equations using the addition method:
2x + 3y = -5
4x - 9y = 35

Question 61

Solve the following system of equations:
2x - y = -1
x + 2y = 7

Question 62

Solve the following system of equations using the substitution method:
3a + b = -1
a - 2b = 16