Substitution
Find the solution:
y = 3x - 1
2x + 4y = 24
(2,5)
x+y=5
x-y=1
(2,3)
Graph this equation and find the solution:
y = x + 8
y = -3x + 8
(0,8)
Find the best method for these equations:
9x + 6y = 0
2x = 12
Substitution
What type of solution is this?
x - y = 5
x = y + 1
No solution
What is the first step to eliminating variables in the equation?
Find the opposite with multiplication or just eliminating the opposite.
Graph and find the solutions:
y = -3/2x + 7
y = 1/3x + 7
(0,7)
Find the best method for these equations:
y = -3
y = -1/2x + 2
Graphing
What type of solution is this?
2x + 2y = 2
y = x - 1
Infinite solutions
10x + 6y = 16
-10x + 5y = 50
y=6
x=-2
Solve, graph, and find the solution:
y= -x + 2
x - 3y = 18
(6,-4)
Which two equations are the easiest to solve in your head?
5x - 2y = 8
2x = 12
-2x + 4y = 12
y = -3
4y = 2x
y = -1/2x + 2
3x + 2y = 0
9x + 6y = 0
y = -3
y = -1/2x + 2
Find the solution:
-14 = 3x - y
2y = -8x
(-2,8)
How would you make this equation have opposite variables?
-2x + 10y = 16
-3x + 6y = 3
-3 (-2x + 10y = 16)
-2 (-3x + 6y = 3)
Solve, graph, and find the solution:
y= 1/2x + 6
x + y = 3
(-2,2)
Find the best method for these equations and solve:
5x - 2y = 8
4y = 2x
Best method: Substitution
Solution: (2,1)
What type of solution is this?
3x - 6y = 9
x = 2y + 3
Infinite solutions
Solve:
5x + 2y = 8
3x + 2y = 0
(1, -1.5)
Solve, graph, and find the solution of these equations:
y = -1/3x + 3
3x - y = 7
(3,2)
Find the best method for these equations and solve:
3x + 2y = 0
-2x + 4y = 12
Best method: Elimination
Solution: (-1 1/2, 2 1/4)