Solving Systems of Linear Equations by Graphing
Solve the system of linear equations by graphing:
y = 2x + 9
y = -x + 6
(-1,7)
Solve the system of linear equations by substitution:
y = 2x + 5
y = 3x - 1
(6,17)
Solve the equation:
5(2 - y) + y = -6
y = 4
Solve the system of linear equations:
y = 3x - 8
y = 3x - 8
Infinite solutions
When was Ms. Elliott's baby born?
Feb 17th
Solve the system of linear equations by graphing:
y = x + 4
y = -x + 2
(-1,3)
Solve the system of equations below.
y = 2x + 3
4x + 2y = -2
(-1,1)
one solution
In y=mx+b what does the m and the b represent?
m is the slope and b is the y-intercept
Solve the system of linear equations:
y = 3x + 1
-x + 2y = -3
(-1,-2)
What food is Ms. Elliott kind of allergic to?
Eggs!
Solve the system of equations below.
8x - 2y = 6
y = 2x + 3
(3,9)
one solution
Solve the system of equations below.
x = -4y - 2
3x + 7y = 9
(10, -3)
one solution
If (0,5) is a solution to both equations, what does this point represent on the graph?
The intersection of the two lines.
Solve the system of linear equations:
y = 5x - 9
y = 5x + 9
No solution.
What month was Ms. Elliott born?
April
Solve the system of linear equations by graphing:
x + y = 7
y = x + 3
(2,5)
Solve the system of linear equations by substitution:
2x = y - 10
x + 7 = y
(-3,4)
Is (3,1) a solution to this system of equations?
2x+y=7
2x+4y=10
Yes.
Solve the system of linear equations:
y = 8x - 2
y - 8x = -2
Infinitely many solutions.
What is Ms. Elliott's Chinese Zodiac?
Rat
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 equations below.
y = 5x - 7
-3x - 2y = -12
(2, 3)
one solution
Is (1,1) a solution to the system of equations?
2x+y=3
3x−y=7
No
Describe and correct the error in solving the system of linear equations.
y = -2x + 4
y = -2x + 6
The lines have the same slope so there are infinitely many solutions.
The lines have the same slope but different y-intercepts so therefore they are never going to intersect = No Solution.
What color are Ms. Elliott's eyes?
green
Solve the system of linear equations by graphing:
y= -1
y= -5/2x+4
(2,-1)
Solve the system of equations using the substitution method:
3x - y= 7
y = 2x - 4
(3, 2)
What type of lines represent a system with infinitely many solutions?
Same lines.
If two equations are multiples of each other, what can you say about their solutions?
They have infinitely many solutions, because they are the same line.
How many years have I been teaching?
8