What is the solution?
(-1,1)
Solve the systems of equations using substitution:
-3x + 4y = -2
y = -5
(-6, -5)
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
What strategy would you use?
14x + 2y = 26
-14x - 6y = -50
elimination
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
How many solutions are there?
No Solutions
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
Solve the systems of equations using Elimination:
-3x - 5y = 2
3x + 5y = 7
No Solution
What strategy would you use?
-5x - 5y = 10
y = -4x -17
substitution
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
Solve Using Graphing:
y = 5/3x + 2
y = -3
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
Solve the systems of equations using Elimination:
-6x - 10y = 4
6x + 10y = 0
No Solution
Is there 1 solution, No solution, or Infinite solutions for the system of linear equations below?
3x - y = 19
-3x + y = 10
No Solutions
The sum of two numbers is 75 and their difference is 19. Find the larger of the two numbers.
47
How many solutions are there?
Infinitely Many Solutions
Solve the systems of equations using substitution:
-8x - 5y = -24
-x + y = 10
(-2, 8)
Solve the systems of equations using Elimination:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
Is the given point a solution to the system of equations?
Point: (2,6)
x + y = 8
3x - y = 0
Yes
Rich has $8.10 in his piggy bank which consists of 82 coins that are nickels and quarters. How many of each coin does Rich have?
20 quarters and 62 nickels
Solve the systems of linear equations by graphing:
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
Solve the systems of equations using Elimination:
-15x + 6y = -36
8x - 6y = 22
(2, -1)
Is the given point a solution to the system of equations?
Point: (1/2, -2)
6x + 5y = -7
2x - 4y = -8
No
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