Solve by Graphing
Solve by Substitution
Solve by Elimination
Systems in General
Word problems and more...
100
What is the solution?
(-1,1)
100
Solve the systems of equations using substitution:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
100
What strategy would you use?
14x + 2y = 26
-14x - 6y = -50
elimination
100
Two numbers have a sum of 117. The larger number is 42 less than twice the smaller number.
Which is the system of equations that can help you solve this problem?
x+y=117
y=2x-42
200
How many solutions are there?
No Solutions
200
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations using Elimination:
-3x - 5y = 2
3x + 5y = 7
No Solution
200
What strategy would you use?
-5x - 5y = 10
y = -4x -17
substitution
200
Two numbers have a sum of 117. The larger number is 42 less than twice the smaller number. Which are the numbers?
x=53
y=64
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations using Elimination:
-6x - 10y = 4
6x + 10y = 0
No Solution
300
Is there 1 solution, No solution, or Infinite solutions for the system of linear equations below?
3x - y = 19
-3x + y = 10
No Solutions
300
3x –y + 2z = 14
4x –2y + z = 13
x + y –z = 0
Build the matrix to solve to find D
3 -1 2
4 -2 1
1 1 -1
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations using substitution:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Solve the systems of equations using Elimination:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
400
Is the given point a solution to the system of equations?
Point: (2,6)
x + y = 8
3x - y = 0
Yes
400
Solve
4x -2y + z=13
3x -y +2z= 13
x+ 3y -3z=-10
(2, -1, 3)
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations using Elimination:
-15x + 6y = -36
8x - 6y = 22
(2, -1)
500
Is the given point a solution to the system of equations?
Point: (1/2, -2)
6x + 5y = -7
2x - 4y = -8
No
500
Georgia bought 3 pens and 4 notebooks for $26.50 from the bookstore. She later bought 7 pens and 5 notebooks for $41.25 from the same bookstore. How much would you have to pay for 2 pens and 2 notebooks?
Pens $2.50 each
Notebooks $4.75 each
$14.50