Math review

Elimination

100

solve

-x + y = 7

x + y = 1

(-3, 4)

200

Solve

6c - 9d = 111

5c - 9d = 103

(8, -7)

300

x - y=11

2x+y=19

 (10,-1)

400

Solve

9x + 6y= 78

3x - 6y = -30

(4, 7)

500

how many equations are you dealing with when using elimination

2 equations

substitution

100

Solve with substitution.

y = 5x + 1

4x + y = 10

(1, 6)

200

2x + y = 3

4x + 4y = 8

(1, 1)

300

x = y - 2

4x + y = 2

(0, 2)

400

x = y - 1

-x + y = -1

No solution

500

y = -3x + 1

2x + y = 1

(0, 1)

systems of equations

100

what is the graph of a no solution look like

it would have parallel lines and they don't intersect

200

what are the 3 ways of solving systems of equations

graphing, elimination and substitution

300

What does it mean if a graph has one solution?

The graph of the lines intersect at a specific point (ordered pair)

400

what are the possible kinds of solutions you can get when solving systems?

infinite solutions

no solution

one solution

500

If both equations in the system are the same, describe the solution. 

infinite solutions

They form the same line on the graph.