Solving Systems of Linear Equations by Graphing
Two equations with different slopes have how many solutions?
One solution
Solve the system of linear equations by substitution:
y = x - 4
y = 4x - 10
(2,-2)
Solve the system of linear equations by elimination:
x + 3y = 5
-x - y = -3
(2,1)
What is the rarest M&M color?
Brown
What vitamin does the sun’s ultraviolet rays help the skin produce?
Vitamin D
Two equations with the same slope and the same y-intercepts have how many solutions?
Infinite solutions
Solve the system of linear equations by substitution:
y = 2x + 5
y = 3x - 1
(6,17)
Solve the system of linear equations by elimination:
x - 2y = -7
3x + 2y = 3
(-1,3)
What is the common name for dried plums?
Prunes
What tissues connect the muscles to the bones?
Tendons
Two equations with the same slope and different y-intercepts have how many solutions?
No solutions
Solve the system of linear equations by substitution:
x = 2y + 7
3x - 2y = 3
(-2, -4.5)
Solve the system of linear equations by elimination:
2x + 7y = 1
2x - 4y = 12
(4,-1)
What is the only edible food that never goes bad?
Honey
In which continent is Timbuktu located?
Africa
What are the y-intercepts and the slopes of the following equations:
y = -x + 2
y = 5x - 7
Y-intercepts: 2 and -7
Slopes: -1 and 5
Solve the system of linear equations by substitution:
6x - 4y = -8
y = -6x +2
(0,2)
Solve the system of linear equations by elimination:
-4x - 2y = -12
4x + 8y = -24
(6,-6)
Which country invented ice cream?
China
What is a male duck called?
A Drake
Is it possible for a system of linear equations to have exactly two solutions? Explain your reasoning.
No, two lines cannot intersect in exactly two points.
Solve the system of linear equations by substitution:
7x + 2y = -7
y = 5x + 5
(-1,0)
Solve the system of linear equations by elimination:
8x + y = -16
-3x + y = -5
(-1,-8)
What is the most consumed manufactured drink in the world?
Tea
What was the first toy to be advertised on television?
Mr. Potato Head