Graphing
Solve by graphing:
y=2x+3
y=-2x-1
(-1,1)
Solve by substitution:
y=-2x+2
y=7x+11
(-1,4)
Solve by elimination:
y=-x+1
y=4x-14
(3,-2)
The sum of two numbers is 24 and their difference is 2. What are the numbers?
13 and 11
Solve by substitution:
y=2x
5x-y=9
(3,6)
Solve by graphing:
y=3x-2
y=-x+2
(1,1)
Solve by substitution:
x=3y
2x+4y=10
(3,1)
Solve by elimination:
2x-3y=14
x+3y=-11
(1,-4)
The sum of two numbers is 29. The difference between four times the first number and the second number is 6. Find the two numbers.
7 and 22
Solve by graphing:
x-y=1
y=5
(6,5)
Solve by graphing:
y=-x+3
x+y=-2
no solution
Solve by substitution:
y=x+2
3x+3y=6
(0,2)
Solve by elimination:
x+3y=6
2x-7y=-1
(3,1)
At a sale on candles, Lexi bought two large candles and five small candles and paid $30. Carl bought one large candle and three small candles and paid $16.75. Find the cost of each.
$6.25 for large candle
$3.50 for small candle
Solve by substitution:
5x+2y=7
4x+y=8
(3,-4)
Solve by graphing:
2x+3y=6
-x+y=-3
(3,0)
Solve by substitution:
2x+y=-2
5x+3y=-8
(2,-6)
Solve by elimination:
3x+3y=9
5x+4y=10
(-2,5)
The maximum capacity for seating in a theater is 500 people. The theater sells two types of tickets, adult tickets for $7.25 each and child tickets for $4 each. If they sold out on a certain showtime and made a total of $3,157 in ticket sales, how many of each type of ticket was sold for that showtime?
356 adults & 144 children
Solve by elimination:
2x+3y=6
2y=5-x
(-3,4)
Solve by graphing:
4x+y=2
3y=-12x+6
IMS
Solve by substitution:
x-2y=3
4x-8y=12
IMS
Solve by elimination:
2x+4y=6
3x=12-6y
no solution
A collection of dimes and nickels is worth $3.10. If there are 45 coins in all, how many of each kind of coin are there?
17 dimes and 28 nickels
Create a system of equations with a solution of (-1,2).
Check work.