Solving by Elimination
x-3y+3z=-4
2x+3y-z=15
4x-3y-z=19
What is (5,1,-2)
A football teams scored a total of 50 points in one game. They scored 14 times. The scoring was made up of touchdowns(6 points each), PAT's (1 point each), and field goals(3 point each). They had 3 more touchdowns than field goals. How many of each type score did the team have?
What is (6,5,3)
(4,0,2) is the solution to
−4x−5y−z=18
−2x − 5y − 2z = 12
−2x + 5y + 2z = 4
What is no
adding subtracting or multiplying a system of equations to help solve a system
What is elimination method
x+3y+4z=20
4y+2z=20
z=4
What is (-5,3,4)
x-3y+3z=-4
2x+3y-z=15
4x-3y-z=19
What is (5,-2,1)
Bill, Jackson, and Trent are buying flowers for their garden. Bill buys 3 Iris, 2 daffodil and 5 tulips for $31. Trent buys 4 tulips, 3 iris, and 6 daffodil for $36. How much does each plant cost.
What is ($4,$2,$3)
(1,3,1) is the solution to
4r−4s+4t=−4
4r+s−2t=5
−3r − 3s − 4t = −16
What is yes
Using algebraic methods to find an exact solution of a system of equations
What is substitution
-2x+y+z=-5
3y+z=13
z=4
What is (6,3,4)
x+2y+x=12
2x-2y-z=-6
x+2y-z=2
What is (2,5/2,5)
A movie theater is filled to capacity of 350. The theater charges $4.50 for children, $7.50 for students, and $12.50 of adults. There are half as many adults as there are students. If the total ticket sales were $2415, how many children, students, and adults attended
What is 170 children, 120 students, 60 adults
(-2,4,3) is the solution to
−5x + 3y + 6z = 4
−3x+ y+5z=−5
−4x + 2y + z = 13
What is yes
when there is more than one equation to be solved at the same time
What is System of equations
x-2y+z=-4
4x+y-2z=1
2x+2y-z=10
What is (2,1,-4)
3x+4y+5z=22
2x+5y+7z=23
4x+3y+6z=24
What is (3,2,1)
At a store, Mary pays $34 for 2 pounds of apples, 1 pound of berries, and 4 pounds of cherries. Tom pays $35 for 3 pounds of apples 2 pound of berries and 2 pounds of cherries. Lee pays for $49 for 5 pounds of apples, 3 pounds of berries, and 2 pounds of cherries. What is the price per pound for apples for berries, and for cherries?
What is (a=$3,b=$8,c=$5)
(-2,-3,1) is the solution to
−6x − 2y − z = −17
5x+ y−6z=19
−4x − 6y − 6z = −20
What is no
a pair of numbers that give the coordinate of a point on a grid in this order: (horizontal x, Vertical y)
what is ordered pair
4p-q+r=-4
-p+2r=8
-p+2q+3r=9
What is (-2,-1,3)
4x+2y-2z=10
2x+8y+4z=32
30x+12y-4z=24
What is (-2,6,-3)
At a pizza shop, two small pizzas, a liter of soda and a salad cost $14; one small pizza, a liter of soda and 3 salads cost $15; and three small pizzas and a liter of soda cost $16. What is the cost of one small pizza? one liter of soda? and of one salad?
What is (p=$5, l=$1, s=$3)
(1,5,3) is the solution to
−6x−2y+2z=−8
3x − 2y − 4z = 8
6x − 2y − 6z = −18
What is no unique solution
A solution to a system of three equations in three variables
What is an ordered triple
x+y+z=2
-x+3y+2z=8
4x+y=4
What is (0,4,-2)