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 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:

8x + 5y = 9
2x - 5y = -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

2x - 4y = 12
-8x + 16y = -36

What is NO SOLUTION?

500

The solution to the system:

-7x - 8y = 9

-4x + 9y = -22

What is (1, -2)

Solving by Substitution

100

The solution to the system:

y = 5x + 10

y = 15x - 20

What is (3, 25)?

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:

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

What is (4,3)

Mixed Practice

100

Is the point (1, 2) a solution to the system?

y = 3x - 1

y = x + 5

No!

200

Is the point (0, 0) a solution to the system?

y = 5x

y = 2x

Yes!

300

The solution to the system:

5x + 4y = -7

-5x - 2y = 1

What is (-1, -3)?

400

The solution to the system:

y = 3x - 2

x - y =4

What is (-1, -5)?

500

The solution to the system:

3y = 3x + 18

y= -2x - 3

What is (-3, 3)?