Systems of Equations

Solving by Graphing

100

The quadrant in which the solution to the following system lies:

y = x + 4
y = 2x + 5

What is II

200

The solution to the system of equations:

y = 3x - 2
y = -x - 2

What is (0, -2)?

300

The solution to the system of equations:

y = -3
x = 5

What is (5, -3)

400

The solution to the system of equations

y = (1/3)x - 3
2x - y = 8

What is (3, -2)

500

The solution to the system of equations:

y - 3x = 3
y = 3x - 2

What is no solution?

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

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

What is (-2, -5)

500

The solution to the system

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

What is (3, 9)?

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:

8a + 5b = 9
2a - 5b = -4

What is (0.5, 1)?

300

The solution to the system:

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

What is (-15, 12)?

400

The solution to the system

2a - 4b = 12
-8a + 16b = -48

What is infinitely many solutions?

500

The solution to the system:

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

What is (24, 8)