Systems with Graphs
Solving by Substitution
Solving by Elimination
Best Strategy
Random
100
What is the solution?
(-1,1)
100
Solve the systems of equations:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve the systems of equations:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
100
What strategy would be best?
14x + 2y = 26
-14x - 6y = -50
Elimination because the coefficients on x are the same number with opposite signs
100
What is it called when you have 2 or more equations with 2 or more variables?
A system of equations
200
Solve using 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 the systems of equations:
x -3y = 6
x + 3y = 12
(9,-1)
200
What strategy would be best?
y = 4x + 3
y = -2x + 1
Graphing because both equations are in slope-intercept form
200
What would a system of equations with infinite solutions look like on a graph?
One line.
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations:
-6x - 10y = 4
6x + 10y = 0
No Solution
300
What strategy would be best?
x = 3y + 4
5x + 2y = 12
Substitution because one of the equations is already solved for a variable
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?
Infinitely Many Solutions
400
Solve the systems of equations:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Solve the systems of equations:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
400
What strategy would be best?
3x - 4y = 12
2x + 2y = 6
Elimination Method or Graphing using intercepts
400
Solve the following System of Equations using ANY method
x = 3y - 5
2x - 3y = -4
(1, 2)
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
Solve the systems of equations:
-15x + 6y = -36
4x - 3y = 11
(2, -1)
500
What method would be the best?
3y = 6 - 4x
4y = 3x + 8
Graphing
500
What would a systems of equations with no solution look like on a graph?
Parallel Lines