Systems of Equations EXTRA CREDIT

Graphing

100

y = 2x + 2

y = x - 1

(-3, -4)

200

y = 2x + 4

y = 3x + 2

(2, 8)

300

x = 3

y = 2x + 1

(3, 7)

400

4x + 2y = 8

2x + y = 4

No solution

500

y = 1/2 x + 2

y-2 = 2/4 x 

Infinite solutions

(Same Line)

Substitution

100

y = 2

3x + 2y = 10

(2, 2)

200

x + 3y = 2

-x + 2y = 3

(-1, 1)

300

x - 2y = -10

3x - y = 0

(2, 6)

400

2x – 3y = –2

 4x + y = 24

(5, 4)

500

5x - y = -13

-5x +2y = 24

no solution

Elimination

100

x + 3y = 5

2x -3y = -8

(-1, 2)

200

-5y + 8x = -18

5y + 2x = 58

(4, 10)

300

3y - 5x = -26

-2y - 5x = -16

(4, -2)

400

3x−4y=8

18x−5y=10

(0, -2)

500

4x−9y−2=0

12x−5y+38=0

(-4, -2)

Vocab

100

Consists of two or more linear equations in the same variables.

System of linear equations (linear system)

200

The method of solving equations where you add or subtract equations to end up with one variable.

Elimination

300

What do I need to have in my equations in order to eliminate a variable?

Same number & opposite sign

400

How can you tell if an answer to your system of equations doesn't work? (Multiple answers)

The (x,y) is NOT the intersection point of the 2 graphs.

When you plug in (x,y) it doesn't work for one or both of the equations.

500

How do I get no solution in a system on equations when graphing?

Same slope

Parallel Lines

Lines don't intersect

Anything but math

100

You answer me but I never ask a question. What am I?

A phone

200

When was the first call of duty released?

2003

300

Ms. Gabrielle attended this MAC school that is home to the Freddie the Falcon!  They also have the same colors as the Cleveland Browns.

Bowling Green State University

400

Who won record of the year at the Grammys?

Everything I wanted: Billie Eilish

500

Spell our Principal's last name.

Pallija