System of Equations

System of Inequalities

substitution elimination

Consistent Inconsistent

Vocabulary

100

2x−y=−5

y=1−3x

1,-2

100

2y < 4x - 6 and y < 1/2x + 1

3,3

100

X=Y+5

3x+2y=5

(3,-2)

100

x-3y=12

y=1/4x-7

Consistent and Independent

100

What vocabulary term means a system of equations with at least one ordered pair that satisfies both equations.

Consistent

200

3x−y=13

3y−2x=−4

5,2

200

y > 2/3x - 7 and x < -3

-3,-9

200

x=-2y+5

3x+3y=-3

(-7,6)

200

8x+2y=18

y=9-4x

Consistent and dependent

200

What vocabulary term means a consistent system of equations with exactly one solution.

Independent

300

5u−6v=−2

7u+18v=2

-1,1/2

300

3x - 2y < 2 and y > -1

0,-1

300

x+y=9

x-y=5

(7,2)

300

x-5y=10

2x-10y=30

Inconsistent

300

What vocabulary term means a consistent system of equations with an infinite number of solutions.

Dependent

400

8x−5y+16=0

1x+3y−17=0

1/2,4

400

2.5,-.5

400

2x=-3y+16

5x-4y=-6

(2,4)

400

Something with one solution and and the slopes are different means it is Consistent and Independent True or False.

True

400

What vocabulary term means a method that involves eliminating a variable by combining the individual equations within a system of equations.

Elimination

500

4(x+2)−7(x−y)=7

7(x+y)+10(x−2)=79

5,2

500

9,-3

500

3x+y=10

-4x-2y=2

(11,-23)

500

If there are no solutions and the slopes are the same then it is Consistent and Dependent True or False

False

500

What vocabulary term means a process of solving a system of equations in which one equation is solved for one variable in terms of the other.

Substitution