When two or more equations are considered simultaneous.
What is a system of equations?
100
y = 3x -1
2x + y = 9
What is (2,5)?
100
x + 3y = -9
-x + y = -7
What is (3, -4)
100
The sum of two numbers is 12. Their difference is 6.
What is (3,9)?
200
An ordered pair that is a solution of all equations in a system
What is a solution of a system?
200
3x - 2y = 4
x = 3 - y
What is (1,2)?
200
2x + 6y = -12
3x - 2y = 4
What is (0, -2)?
200
Twice a boys age is 9 more than his brothers. The average of their ages is 12. How old are they?
What is 11 and 13?
300
Systems that have the same solution
What is an equivalent system
300
2x - y = -8
3x + 2y = - 5
What is (-3, 2)?
300
2x + y = 2
3y = -6x + 6
What is infinitely many solutions?
300
A girl has $6 dollars in coins (all quarters and nickels). How many of each does she have?
What is 21 quarters and 15 nickels?
400
Solving one equation for a variable, substituting it into the other equation, and solving for the remaining variable.
What is substitution method?
400
3x - 6y = 30
2y = x +6
What is no solution?
400
5x + 2y = 2
3x + 5y = 24
What is (-2, 6)?
400
A girls cell phone cost $10 per month and $.10 per minute. Her friends cost $3 per month and $.15 per minute. What amount of talking time will the plans cost the same?
What is 140 minutes?
500
Multiplying the like terms so the coefficients have opposite coefficients, adding the equations and solving the result.
What is elimination method?
500
2a + 4b = -5
3a - 5b = 9
What is (0.5, -1.5)?
500
0.7x + 2y = 1.61
2x - 0.3y = 0.39
What is (0.3, 0.7)?
500
How many liters of a 60% salt mixture need to be added to 2 liters of a 30% salt mixture to yield a 48% mixture?