Graphing Systems of Equations
State whether the systems of equations has one, no or infinite solutions.
y=-3/2x + 5
y=-2/3x +5
One Solution
Strongly suggest you use substitution to solve
y = 5x + 1
4x + y = 10
(1,6)
Use ELIMINATION to solve each system of equations.
-x + y = 7
x + y = 1
(-3, 4)
Use elimination to solve each systems of equations
x + y = -2
-3x + 4y = -15
( 1 , -3 )
State whether the systems of equations has one, no or infinite solutions
x+y=4
3x+3y=12
Infinite
Stronlgy suggest that you use substitution
y = -3x + 4
-6x -2y = -8
Infinitely solutions
Use ELIMINATION to solve each system of equations.
-4x + 5y = 17
4x + 6y = -6
(-3 , 1 )
Use elimination to solve each systems of equations
2x + 5y = 11
4x + 3y = 1
( -2 , 3 )
State whether the system has one, no or infinite solutions
3x+6=y
6x - 2y = -12
Infinite
Strongly suggest you use substitution
5x - 5 = y
-x + 3y = 13
(2,5)
Use ELIMINATION to solve each system of equations.
a + 4b = -4
a + 10b = -16
( 4 , -2 )
Use elimination to solve each systems of equations
12x - 3y = -3
6x + y = 1
( 0 , 1 )
Write the system of equations in slope intercept form
State whether the system has one, no, or infinite solutions
y = 2x+5
-2x - y = 13
One solution
Strongly suggest you use substitution
y = 3.2x + 1.9
2.3x + 2y = 17.72
(1.6 , 7.02)
Twice a number added to another number is -8.
The difference of the two numbers is 2. Find the ordered pair.
( -2 , -4 )
The art teacher purchased 5 lbs of firing clay and 24 lbs of polymer clay for $64.05. The next time she ordered, she tried to reduce her total cost and purchased 25 lbs of firing clay and 8 lbs of polymer clay for $51.45. Create the system of equations, solve and interpret the solution in the context of the problem.
5x + 24y = 64.05
25x + 8y = 51.45
(1.29, 2.40) The cost of the firing clay is $1.29, and the cost of the polymer clay is $2.40.
State whether the systems of equations has one, no, or infinite solutions
2x + y = 4
y = -2x -2
No solutions
Strongly suggest you use substitution
y = -10x -6.8
-50x - 10.5y = 60.4
(-.2 , -4.8)
Sam and Ben each bought snacks for their friends. Sam bought four bags of popcorn and two bags of chips. Ben bought seven bags of popcorn and two bags of chips. Sam paid $18.50 and Ben paid $26.75.
Write the system of equations, solve, and explain the solution in the context of the problem.
4x + 2y = 18.50
7x + 2y = 26.75
(2.75, 3.75) A bag of popcorn costs $2.75 and a bag of chips costs $3.75.
Two times a number plus three times another number equals 13.
The sum of the two numbers is 7.
Find the numbers.
( 8 , -1 )