Quiz about Systems: Substitution Method

Question 1

What is the solution to this system?
y= 4x + 3
2x - 3y = 21

Accepted Answer

(-3,-9)

Answer

(3,-9)

Answer

(-3,9)

Answer

(0,1)

Question 2

What is the solution to this system?
x= 7 - 2y
2x + y = 5

Accepted Answer

(1,3)

Answer

(-1,4)

Answer

(4,-1)

Answer

(3,1)

Question 3

What is the solution to this system?
y = x + 5
4x + y = 20

Accepted Answer

(3,8)

Answer

(8,3)

Answer

(0,2)

Answer

(2,0)

Question 4

What is the solution to this system?
y = 2x + 1
y = 4x - 1

Accepted Answer

(1,3)

Answer

(-1,-3)

Answer

(-1,3)

Answer

(3,1)

Question 5

What is the solution to this system?
y = 4x + 1
3x + 2y = 13

Accepted Answer

(1, 5)

Answer

(5, 1)

Answer

(0.25, 2)

Answer

(-1,5)

Question 6

What is the solution to this system?
y = x
3x - 2y = 3

Accepted Answer

(3,3)

Answer

(1,1)

Answer

(-2,0)

Answer

(0,-2)

Question 7

What is the solution to the system of equations?
y = 3x - 8
y = 4 - x

Accepted Answer

(3,1)

Answer

(1,3)

Answer

(-3,1)

Answer

(3,-1)

Question 8

What is the solution to the system?
x - 2y = 2
3x + 4y = 3

Accepted Answer

(1.4, -0.3)

Answer

(3.1, 5)

Answer

(-2.5, 3.5)

Answer

(6.9, 1.02)

Question 9

What is the solution to the system?
2x - 2y = 2
y = -5x + 14

Accepted Answer

(2.5, 1.5)

Answer

(4, 5)

Answer

(1.5, 5)

Answer

(1, 2.25)

Question 10

What is the solution to this system?
y = 2/3x - 2
y = -x + 3

Accepted Answer

(3,0)

Answer

(0,3)

Answer

(0,-3)

Answer

(-3,0)

Question 11

What is the solution to this system?
3y - 2x = 0
y = 4x - 1

Accepted Answer

(0.3, 0.2)

Answer

(-0.3, -0.2)

Answer

(-0.3, 0.2)

Answer

(0.3, -0.2)

Question 12

What is the solution to this system?
x - y = 6
y= 2x - 5

Accepted Answer

(-1,-7)

Answer

(1,3)

Answer

(-1,3)

Answer

(1,-7)

Question 13

What is the solution to this system?
y = 6x - 11
-2x - 3y = -7

Accepted Answer

(2,1)

Answer

(1,2)

Answer

(-1,2)

Answer

(-2,1)

Question 14

What is the solution to this system?
x = 7 - 2y
2x + y = 5

Accepted Answer

(1,3)

Answer

(-1,4)

Answer

(4,-1)

Answer

(3,1)

Question 15

What is the solution to this system?
y= -3x + 5
5x - 4y = -3

Accepted Answer

(1,2)

Answer

(2,-1)

Answer

(-1,2)

Answer

(2,1)

Question 16

What is the solution to this system?
2x + 3y = 4
y= 5x - 27

Accepted Answer

(5,-2)

Answer

(5, 2)

Answer

(2,3)

Answer

(3,2)

Question 17

What is the value of the y-coordinate of the solution to the system of equations
x - 2y =1
x + 4y =7

Accepted Answer

1

Answer

-1

Answer

3

Answer

4

Question 18

Solve the system of equations.
y = 4x+1
3x + 2y = 13

Accepted Answer

(1, 5)

Answer

(5, 1)

Answer

(0.25, 2)

Answer

(2, 0.25)

Question 19

Solve using substitution.
x + 2y = -3
x - y = -12
What is the sum of x and y?

Accepted Answer

-6

Answer

-2

Answer

18

Answer

15

Question 20

Solve using substitution.
2x - 2y = 2
y = -5x + 14
What is the sum of x and y?

Accepted Answer

4

Answer

9

Answer

6.5

Answer

3.25

Question 21

Solve the system of equations.
x + 2y = -3
x - y = -12
What is the product of x and y?

Accepted Answer

-27

Answer

-35

Answer

45

Answer

54

Question 22

CHALLENGE: Three equations.
x + y + z = 4
x = -2y
z = -3y
Solve the system of equations using substitution.

Accepted Answer

x = 2
y = -1
z = 3

Answer

x= -5
y = 3
z = 1

Answer

x = 10
y = -2
z = 0

Answer

x= 4
y = 1
z = -1

Systems: Substitution Method

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