Systems with Graphs
Solving by Substitution
Solving by Elimination
Mixed
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 you use?
14x + 2y = 26
-14x - 6y = -50
elimination
100
Is the given point a solution to the system of equations?
Point: (-1,-3)
x + y2 = 8
3x - y = 0
Yes
200
How many solutions are there?
No Solutions
200
Solve the systems of equations:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations:
-3x - 5y = 2
3x + 5y = 7
No Solution
200
Ms Carew bought 2 new shirts and a dress for $45. She then went back and bought another shirt and 4 dresses for $70.
Write a systems of equations for the situation.
2x + y =45
x + 4y = 70
200
What is Ms. Carew's favorite number?
13
300
Solve Using Subsitution:
y = 5/3x + 2
y = -3
(-3,-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
Ms. Carew went to Dunkin and bought one coffee and a bagel, her total was $7. Ms. Flood went to Dunkin and bought 2 coffees and 3 bagels and spent $18.
Write a systems of equations for this situation.
x + y = 7
2x + 3y = 18
300
Where did Ms Carew go to college?
NSU- Northwestern
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
How many solutions do parallel lines have?
No Solutions
400
What is Ms. Leach's favorite animal?
Flamingo
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
How many solutions does the system have?
3y + 4x = 6
12y + 16x = 24
These are the same exact line, therefore they have
Infinite Solutions
500
Solve the following System of Equations
-6y + 2 = -4x
y - 2 = x
First step, substitute the x into the top equation.
(-5,-3)