the definition is:
when two or more equations are considered simultaneously.
What is a system of equations?
100
Solve the following system:
y=3x-1
2x+y=9
What is (2,5)
100
Solving the following system:
x+3y=-9
-x+y=-7
What is (3,-4)?
100
Solving the following system:
5x+y=11
x-y=1
What is (2,1)?
100
The sum of two numbers is 12, and their difference is 6. What are the two numbers?
What is (3,9)?
200
an ordered pair that is a solution of all equations in a system.
What is a solution to a system?
200
Solve the following system:
3y-2x=4
x=3-y
What is (1,2)
200
Solving the following system:
2x+6y=-12
3x-2y=4
What is (0,-2)?
200
Solving the following system:
x+y=-1
x-y=3
What is (1,-2)?
200
Twice a boy's age is 9 more than his brother's? The average of their ages is 12. How old are they?
What is (11,13)?
300
systems that have the same infinite many solutions
What is a dependent system?
300
Solving the following system:
2x-y=-8
3x+2y=-5
What is (-3,2)
300
Solving the following system:
2x+y=2
3y=-6x+6
What is infinite many solutions?
300
Solving the following system:
y=-3x
x+y=2
What is (-1,3)?
300
A girl has $6 in 36 coins (all quarters and nickels). How many of each does she have?
What is 21 quarters, 15 nickels?
400
solving one equation for a variable, substituting it in the other equation, and solving for the remaining variable.
What is the substitution method?
400
Solving the following system:
3x-6y=30
2y=x+6
What is no solution?
400
Solving the following system:
5x+2y=2
3x+5y=24
What is (-2,6)?
400
Solving the following system:
2x-4y=-4
3x-y=4
What is (2,2)?
400
My mom's cell phone costs $10 per month plus $0.10 per minute. My aunt's phone costs $3 per month plus $0.15 per minute. For what amount of talking time will the cost of these plans be the same?
What is 140 minutes?
500
multiplying equations so like terms have opposite coefficients, adding the equations, and solving the result.
What is the elimination method?
500
Solving the following system:
2a+4b=-5
3a-5b=9
What is (0.5, 1.5)
500
Solving the following system:
0.7x+2y=1.61
2x-0.3y=0.39
What is (0.3, 0.7)?
500
Solving the following system:
25x-10y=0
2y=5x
What is infinite many solutions?
500
How many liters of a 60% salt mixture must be added to 2 liters of a 30% salt mixture to yield a 48% mixture?