By Graphing
Tell whether the ordered pair (5, 2) is a solution of the linear system 2x-3y=4 and 2x+8y=11.
Not a solution
Solve by substitution:
y=-x-11
y=-2x-19
Solution: (-8, -3)
Solve by elimination:
-4x-6y=20
-4x+5y=-24
Solution: (1, -4)
Solve the system using elimination:
3x-2y=3
-x+y=1
Solution: (5, 6)
Solve the system by any method:
y=-x+42
y=2x+3
Solution: (13, 29)
Which ordered pair is a solution of the linear system x+y=-2 and 7x-4y=8?
A. (-2, 0)
B. (0, -2)
C. (2, 0)
D. (0, 2)
B. (0, -2)
Solve by substitution:
x=16-4y
3x+4y=8
Solution: (-4, 5)
Solve by elimination:
-4x-2y=-12
4x+8y=-24
Solution: (6, -6)
Solve the system by elimination:
-5x+y=-7
-3x-2y=-12
Solution: (2, 3)
Solve the system by any method:
2x-3y=-1
-x+y=-1
Solution: (4,3)
Solve by graphing. Check your solution.
y = (-3/2)x + 2
y = (-1/2)x - 2
Solution: (4, -4)
Solve by substitution:
11x-7y=-14
x-2y=-4
Solution: (0, 2)
8x+y=-16
-3x+y=-5
Solution: (-1, -8)
Solve by elimination:
5x+4y=-30
3x-9y=-18
Solution: (-6, 0)
Solve by any method:
-6x+y=-11
-2x-3y=-7
Solution: (2, 1)
Solve by graphing. Check your solution.
y - 4x = 3
y + x = -2
Solution: (-1, -1)
0.5x+0.6y=5.7
2x-y=-1
Solution: (3, 7)
Solve by elimination:
-x=-y+5
3x+y=25
Solution: (5, 10)
Solve by elimination:
9x+2y=39
6x+13y=-9
Solution: (5, -3)
Solve the system using any method:
4.4x - 3.6y = 7.6
x - y = 1
Solution: (5, 4)
Solve by graphing. Check your solution.
y + (1/2)x = 3
y - 3x = -4
Solution: (2, 2)
Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many quarters does she have? How many dimes?
12 quarters
15 dimes
A sports equipment store is having a sale. A soccer coach purchases 10 soccer balls and 2 sports bags for $130. Another coach purchases 12 soccer balls and 2 sports bags for $154. Find the cost of a soccer ball and the cost of a sports bag.
Soccer ball - $12
Sports bag - $5
Jill is selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. On the first day, Jill sold 3 apple pies and 14 lemon meringue pies for a total of $124. The next day, she sold 13 apple pies and 7 lemon meringue pies for a total of $108. Find the cost each of one apple pie and one lemon meringue pie.
Apple pies = $4
Lemon meringue pies = $8
A business rents in-line skates for $15 per day and bicycles for $30 per day. During one day, the business has a total of 25 rentals (skates and bikes combined) and collects $450 from these rentals. Find the number of skates rented and the number of bicycles rented.
20 skates and 5 bicycles