Vocab
Two lines that never intersect because lines are parallel; different y intercepts; (Example: 12=20)
solution of a system of equations, substitute, elimination, infinitely many solutions, no solution, complementary angles, supplementary angles
no solution
6x+2y=114
-4x-2y=-84
(__,__)
(15, 12)
Y's cancelled.
2x=30
x=15
6(15)+2y=114
90+2y=114
2y=24
y=12
x+5=15
x+5=15
(no, many, or one solution)
many
SAME EQUATION
What is the value of x?
2x=10
x=5
Divide both sides by 2
What is the most popular flower to give on Valentine's Day?
rose
Same slope and y intercept; everything in both equations cancel each other out; (Example: 3=3 or 0=0)
solution of a system of equations, substitute, elimination, infinitely many solutions, no solution, complementary angles, supplementary angles
many solutions
3x+2y=24
7x-2y=36
(__,__)
(6, 3)
Y's cancelled.
10x=60
x=6
3(6)+2y=24
18+2y=24
2y=6
y=3
-2x-5y=25
2x+5y=100
(no, many, or one solution)
No solution
X's and Y's cancel but 25 and 100 do not cancel
0 = 125 (not true)
20x=400
x=20
Divide both sides by 20
Name of the winged child that shoots people with an arrow to fall in love
Cupid
A set of values that make all equations in a system true
solution of a system of equations, substitute, elimination, infinitely many solutions, no solution, complementary angles, supplementary angles
solution of a system of equations
x+y=6
x-y=12
(__,__)
(9, -3)
Y's cancel.
2x=18
x=9
(9)+y=6
y=-3
3x+5y=10
2x+5y=12
(no, many, or one solution)
one solution
3x+5y=10
-2x-5y=-12
Y's cancel, but not X's so you will have an x=number and y=number
Find value of x
5x+40=90
x=10
5x=50
Divide both sides by 5
Two most popular valentines candy?
chocolate, fun dip, nerds, candy hearts, candy corn, skittles
Chocolate and Candy Hearts
Algebraic process of getting rid of a variable in a system of equations then adding equations together to solve
solution of a system of equations, substitute, elimination, infinitely many solutions, no solution, complementary angles, supplementary angles
elimination
x+y=7
2x+4y=18
(__,__)
(5, 2)
-2x-2y=-14
2x+4y=18
X's cancelled.
2y=4
y=2
x+(2)=7
x=5
x-3y=4
2x-6y=8
(no, many, or one solution)
many solutions
-2x+6y=-8
2x-6y=8
Everything cancels 0=0
4x + 5x + 3 =84
x=9
9x+3=84
9x=81
Divide both sides by 9
Fill in the blank
Be ______
Mine
Two angles added together to equal 180 degrees
solution of a system of equations, substitute, elimination, infinitely many solutions, no solution, complementary angles, supplementary angles
Supplementary Angles
3x-y=2
3x-2y=10
(__,__)
(-2, -8)
-3x+y=-2
3x-2y=10
X's cancel.
-y=8
y=-8
3x-(-8)=2
3x+8=2
3x=-6
x=-2
4x-2y=-8
4x-2y=8
(no, many, or one solution)
no solution
-4x+2y=8
4x-2y=8
X's and Y's cancel but the 8's DO NOT
0=16
x/2 + 3=9
x=12
x/2=6
Multiply both sides by reciprocal (multiply by 2)
Who receives the most Valentine's Day cards?
teachers