Solve by Graphing
Solve by Substitution
Solve by Elimination
Strategy and Concepts
100
What is the solution?
(-1,1)
100
Solve by substitution:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve by Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
100
What strategy (substitution or elimination) would you use and explain why?
14x + 2y = 26
-14x - 6y = -50
Elimination because the coefficients of x will cancel out.
200
How many solutions are there?
No Solutions
200
Solve by substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve by Elimination:
-3x - 5y = 2
3x + 5y = 7
No Solution
200
What strategy (substitution or elimination) would you use and explain why?
-5x - 5y = 10
y = -4x -17
Substitution because y is isolated.
300
Solve Using Graphing:
y=5/3x+2
y=-x-6
300
Solve by substitution:
x=2y + 2
3x - 6y = 9
No Solution
300
Solve by Elimination:
3x + y = -7
-2x - 2y = 2
(-3, 2)
300
What is a coefficient?
The number in front of a variable.
400
y=1/2x-3
2y=x-6
Infinitely Many Solutions
400
Solve by substitution:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Solve by Elimination:
x + 8y = 2
3x + 4y = 26
(10,-1)
400
What graph does a system of equations with no solution look like? (use words, not images)
Parallel lines
500
Solve by graphing:
4y+x=8
x=4
(4,1)
500
Solve by substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve by Elimination:
-6x - 10y = 4
6x + 10y = -4
Infinitely Many
500
Name two forms of a linear equation?
**I'm not talking about methods...
slope-intercept
standard form