Solving by Graphing
Substitution
Solving Equations with Variables on Both Sides
How Many Solutions?
Random
100
What is the solution?
(-1,1)
100
Solve the systems of equations:
-3x + 4y = -2
y = -5
(-6, -5)
100
What should you do with the variables when you have an equation where they're on both sides?
Move all of them to one side.
100
How many solutions?
4x - 1 = 4x - 1
Infinite
100
What is the formula for slope-intercept form?
y = _______
y = mx + b
200
Solve by Graphing
y= 2x + 1
y= -x + 7
(2, 5)
200
Solve the systems of equations:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve for w: 2w + 3 = 4w - 5
w = 4
200
How many solutions?
y = 4x + 3
y = -2x + 1
One Solution
200
In the formula for slope intercept form, what does b represent?
the y-intercept
300
Solve by Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve for y: 5(2y + 3) = 6y - (7 - 2y)
y= -11
300
3x - 1 = 3x + 2
No Solution
300
What would a system of equations with one solution look like on a graph?
Two lines that intersect at one point.
400
How many solutions are there? (the lines are drawn on top of each other)
Infinitely Many Solutions
400
Solve the systems of equations:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
-g + 2(3 + g) = -4(g + 1)
g= -2
400
How many solutions?
2x - 12 = 3x - 12 - x
Infinite Solutions
400
Rise over Run = what?
Slope
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
1/5(5x - 5) + 3x = -9(1/3x + 4)
x= -5
500
How many solutions?
y = x
y = 0
1
500
What would a systems of equations with no solution look like on a graph?
Parallel Lines