Substitution
The solution to the system:
x = 4y
2x + 3y = 22
The solution to the system of equations:
r + s = -6
r - s = -10
(-8, 2)
The solution to the system:
-5x - 3y = -25
2x + 5y = 29
(2, 5)
The sum of two numbers is 104. Their difference is 68. What are the numbers?
86 and 18
The solution to the system using the graphing calculator. Round your answers to the nearest hundredth.
y=-2.5x + 45
y= x -13
(16.57, 3.57)
The solution to the system
y = x - 2
3x - y = 16
(7, 5)
The solution to the system:
8a + 5b = 9
2a - 5b = -4
(1/2, 1)
The solution to the system:
-8x + 2y = 6
-10x + 3y = 7
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?
$30 per one shirt
The solution to the system using the graphing calculator. Round your answers to the nearest hundredth.
y = -1.15x + 15
y = 2.215X - 22
(11.30, 2.00)
The solution to the system
y = 3x - 1
7x + 2y = 37
(3, 8)
The solution to the system:
-3x - 5y = -3
3x + 5y = -3
No solution
The solution to the system:
9x - 3y = -12
7x + 7y = -28
(-2, -2)
White chocolate costs $2.00 per bar, and dark chocolate costs $2.50 per bar. If you buy 15 bars of chocolate for $34 dollars, how many bars of dark chocolate did you buy?
7 white chocolate and 8 dark chocolate bars
The solution to the system using the graphing calculator. Round your answers to the nearest hundredth.
y =.56x - 35
y = 1.45x - 44
(10.11, -29.34)
The solution to the system
3s - 2t = 4
t = 2s - 1
(-2, -5)
The solution to the system:
6x - 4y = 8
-3x - 4y = -28
(4, 4)
The solution to the system:
8x - 6y = -10
-5x + 7y = -23
(-8, -9)
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same.
(18, 59)
18 students per van and 59 students per bus
Use the graphing calculator to find the solution. Round your answers to the nearest hundredth.
y = 1.43x - 21
y - 17 = -3.15x
(8.30, -9.14)
The solution to the system
3x + y = 4
-6x - 2y = -8
Many Solutions
The solution to the system:
-8x + 6y = 0
4x - y = 16
(6, 8)
The solution to the system:
-7x - 7y = 7
-12x -11y = 20
(-9, 8)
Devon has been saving $5 & $10 for the past four years. Over spring break he wanted to see how much money he has saved up. After counting the money he calculated that he has a total of $395 & had 49 bills. Based on this information, how many $5 & $10 bills does he have?
(19, 30)
19 - $5 bills
30 - $10 bills
Write a system of equations that has the
solution (4, -3).
Many different possibilities.