Substitution
Elimination
Definition
Any Method
Types of solution
100

-x+2y=6

3x-2y=2

What is, (2,2)

100

-3x+3y=3

3x+y=9

What is, (2,3)

100
Mathematical model of a system, based on the use of a linear operator.
What is, linear systems
100

5x+7y=-2

2x-7y=9

What is, (10,10)

100

y=3x-1
1+ y=3x

What is Infinite Solutions

They are the SAME Equation.

200

4x+y=7

2x+5y=-1

What is, (2,-1)

200

-5x+12y=20

x-2y=-6

What is, (-16, -5)

200

Way to solve linear equations by replacing numbers/variable.

What is, Substitution method

200

4x+6y=8

2x+3y=3

What is, (17/7, 9/7)

200

y=5x-3

y=5x+3

What is NO Solution.

SAME SLOPE but DIFFERENT y-intercept

lines will never cross

300

3x+2y=-2

6x-y=6

What is, (2/3,-2)

300

3x+2y=1

4x+6y=7

What is, (-4/5,17/10)

300

Way to solve linear systems by getting rid of a number/variable.

What is, Elimination Method

300

3x-8y=0

-2x+5y=-2

What is, (16,6)

300

2x+3y=6

3x+2y=6

What is 1 solution.

2x +3y=6 --> y=-2/3x +2

3x+2y=6 --> y=-3/2 + 3

SLOPES are Different and Y-intercept is Different

400

2x+4y=-4

x-2y=10

What is,(4,-3)

400

5x+7y=-2

2x-7y=9

What is, (1,-1)

400
Branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent the equation
What is, Algebra
400

2x-5y=3

-4x+10y=-6

What is, Infinitely many solutions

400

y= 9x+4

18x + 2y = -2

What is 1 solution.

y=9x+4

18x+2y= -2 --> y= -9x - 1

500

4x+y=-1

8x+2y=-2

What is, infinitely many solutions.

500

4x+6y=8

2x+3y=3

What is, no solution

500
Branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles and figures.
What is, Geometry
500

5/4x+y=-9/2

x+3/2y=-12

What is, (6,-12)

500

y= 3x + 9

-6x + 2y = -30

What is NO Solution.

y=3x+9

-6x+2y=-30  --> y= 3x-15

SAME SLOPE but DIFFERENT y-intercept

M
e
n
u