Graphing Substitution Elimination Special Systems of Linear Equations
100
(-2,2)
y= x +4
y= -x
100
(2,5)
y= x + 3
y= 5x - 5
100
(3,-1)
X - y =4
X + y= 2
100
no solution
y= 2x - 9
y= 2x + 9
200
(-1,0)
y= -x -1
2y= 4x+4
200
(-3, -10)
y= 3x -1
y= x -7
200
(2,1)
x + 3y =5
2x - 3y = 1
200
infinite solutions
y= 3x - 4
y- 3x= -4
300
(1,-1)
y=2x -3
y= -3x +2
300
(17,3)
x= 5y+2
x -4y =5
300
(3,5)
4x -y = 7
-4x + 2y = -2
300
one solution
y= 6x -2
y= -2x +1
400
(3,-3)
3y+ 6x= -9
y + x= 0
400
16 stationary bikes, 9 treadmills
The gym has a total of 25 treadmills and stationary bikes. There are 7 more stationary bikes than treadmills. Write a system of linear equations that represents this situation and find the number of treadmills and number of bikes in the gym.
400
2 pounds oranges, and 1 pound apples
You purchese 5 pounds of apples and 2 pounds of oranges for $9. Your friend purchases 5 pounds of apples and 6 pounds of oranges for $17. Write a system of linear equations to find the price per pound apples and oranges.
400
no solution
y= 2x - 2
y= 2x + 9
500
(3,3)
2x -3y= -3
y- 1/3x= 2(3,3)
500
6 forks and 18 spoons.
A drawer contains 24 spoons and forks. There are three times as many spoons as forks. Write a system of linear equations to find the number of spoons and number of forks in the drawer.
500
8 short response questions, and 12 multiple choice questions
A 100-point test contains a total of 20 questions. The multiple choice questions are worth 3 points each and the short response questions are worth 8 points each. Write a systems of equations to find the number of multiple choice questions and the number of short response questions on the test.
500
A gift basket has 2 soaps and 5 lotions and costs $20. A second gift basket has 6 soaps and 15 lotions and costs $50. Write a systems of equations to find out the cost of each lotion and soap.






Solving Systems of Equations

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