Where to start?
How do I graph that?
Solve by Graphing
Least Work Possible
Solve by Substitution
What's the solution?
100
y=1/2x-4
To graph this line, I would put the first point here.
What is on the y-axis at -4?
100
To graph this line I would put a point at -4 and then do this.
y=2/3x-4
What is count up 2 boxes and then 3 boxes to the right?
100
After graphing these lines, the solution is this point.
y=x+1
y=-2/3x-4
What is (-3, -2)?
100
T + C = 11
2C + 3T = 12
I would isolate this variable in this equation.
What is C or T in the first equation?
100
This is first step to solving this system using substitution.
y=6x+4
5x+2y=12
What is substitute 6x + 4 for y in the second equation?
100
The solution to the system is this point.
What is (-2,0)?
200
To graph this line, I would put the first point here.
y = -3/2x+4
What is at 4 on the y-axis?
200
To graph this line I would put a point at 2 and then do this.
y=-1/2x+2
What is count down 1 box and to the right 2 boxes?
200
After graphing these lines, the solution is this point.
y=-1x-4
y=1x+2
What is (-3, -1)?
200
I would isolate this variable in this equation.
3x+y=4
3x - 4y = 12
What is y in the 1st equation?
200
This is the first step to solving the system using substitution.
x=5y+2
x-4y=5
What is rewrite the bottom equation as (5y+2)-4y=5 ? Or substitute 5y+2 into the bottom equation for x?
200
The solution to this system of equations is this point.
What is (-1,2)?
300
To graph this line, I would put the first point here.
y=2/3x-4
What is at -4 on the y-axis?
300
To graph this line I would put a point at -2 and then do this.
y=3x-2
What is count up 3 boxes and then 1 box to the right?
300
After graphing these lines, the solution is this.
y=x-4
y=-3x+4
300
I would isolate this variable in this equation.
3Q+4R=90
-2R + Q = 12
What is Q in the 2nd equation?
300
This is the first step to solving this system of equations using algebra.
y=2x-12
y=-4x+12
What is setting them equal to each other or rewriting the equation as 2x - 12 = -4x + 12?
300
These are the three types of solutions to systems of equations.
What is no solution, one solution, and infinite solutions?
400
To graph this line, I would put the first point here.
y=2x
What is at 0 on the y-axis?
400
To graph this line I would put a point at 0 and then do this.
y=-2x
What is count down 2 boxes and then 1 box to the right?
400
After graphing these lines, the solution is this.
y=3x+1
y=3x-2
What is no solution?
400
I would isolate this variable in this equation.
W - 2 = 9R
3R - 4W = 15
What is W in the first equation?
400
This is the solution to this system of equations:
y=2x-3
4x-5y=-9
What is (-1,1)?
400
A system of equations has NO SOLUTION when the lines look like this.
What are parallel lines, they have the same slope, or they never intersect?
500
To graph this line, I would put the first point here.
y=x
What is at the origin (0,0) or on the y-axis at 0?
500
To graph this line I would put a point at -2 and then do this.
y= -2+x
What is count up 1 box and then 1 box to the right?
500
After graphing these lines, the solution is this.
y=x
y=1/5x+4
What is (5,5)?
500
I would isolate this variable in this equation:
1/2x+3/2y=8
-4y+x=8
What is x in the second equation?
500
This is the solution to this system of equations.
y = 4x - 20
-2x-2y=10
What is (3, -8)?
500
When a system of equations has INFINITE SOLUTIONS it looks like this.
What is a single line?