Systems of Equations

One, Infinite or No Solution

100

One, Infinite or No Solution? 

2x+4=2(x+2)

Infinite  

200

One, Infinite or No Solution? 

4(3x−2)−5x+7=7x+5

No Solution

300

One, Infinite or No Solution? 

7(2x−5)+3x=17x−20

No Solution 

400

One, Infinite or No Solution

6(2x−3)+4x=2(8x−9)

Infinite 

500

One, Infinite or No Solution?

⅔ (9x+6)−4x=5x+4−x−10

One Solution 

x=5

Solve for X

100

3x - 5 = 10

x = 5

200

3(4x−2) = 42

x = 4

300

4(x−1)+3=5x+2 

x = 1

400

5x−2(x+3)=10  

x = 16/3

500

2x+7−5x−12 = −8x+3

x = 8/5

Solving by Elimination

100

The solution to the system of equations:

x + y = -6
x - y = -10

What is (-8, 2)?

200

The solution to the system:

2x+y=11

3x−y=4

What is (3,5)

300

The solution to the system:

2x + 3y = 6
3x + 5y = 15

What is (-15, 12)?

400

The solution to the system

3x+2y=8

5x−2y=8

(2,1)

500

The solution to the system:

(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4

What is (24, 8)

Solving by Substitution

100

The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)

200

The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)

300

The solution to the system

y = 3x - 1
7x + 2y = 37

What is (3, 8)

400

The solution to the system

3y - 2x = 4
x = 2y - 1

What is (-2, -5)

500

The solution to the system

x + y = 12
x = (1/3)y

What is (3, 9)?