Solve the System
y = 2x + 1 and 3x + y = 16
What is (3, 7)?
x + y = 8 and 2x + 2y = 16
What are infinitely many solutions (same line)?
Scooters $7/day, bikes $10/day. 13 vehicles rented for $109 total. How many of each?
What are 9 scooters and 4 bikes?
y = x + 5 and y = –3x + 11
What is (2, 7)?
he solution is (8, 3). The equations are y = mx + 1 and y = qx – 5. Find m and q.
What are m = 0.25 and q = 1?
x + y = 14 and 2x – y = 4
What is (6, 8)?
4x – 2y = 10 and 6x – 3y = 15
What are infinitely many solutions (same line)?
The sum of two numbers is 37. Their difference is 9. What are the numbers?
What is 23 and 14?
x + y = 13 and x – y = 3
What is (8, 5)?
The solution is (3, 11). The equations are y = mx + 2 and y = qx – 4. Find m and q.
What are m = 3 and q = 5?
3x + 2y = 22 and x + 4y = 14
What is (6, 2)?
x + 2y = 9 and 2x + 4y = 20
What is no solution (parallel lines)?
3 adult + 5 child tickets = $68. 5 adult + 3 child tickets = $68. Price of each?
What is an adult $12 and child $8?
y = 4x – 7 and x + y = 8
What is (3, 5)?
ntersecting lines: x = 3y + 4 and x + y = 130
What is x = 100 and y = 30?
5x – 2y = 11 and 3x + y = 19
What is (5, 7)?
y = 3x – 4 and 6x – 2y = 8
What are infinitely many solutions (same line)?
300 people at an event (adults & children). Adult tickets $20, child $12, total sales $4,800. How many adults and children?
What is 180 adults and 120 children?
y = 2x and y = 12 – 2x
What is (3, 6)?
ntersecting lines: x = y + 15 and x + y = 165
What is x = 90 and y = 75?
4x + 3y = 27 and 2x + y = 11
What is (3, 6)?
3x + y = 12 and 3x + y = 15
What is no solution (parallel lines)?
A store sold 10 shirts and pants for $355. Shirts $28 each, pants $41 each. How many of each?
What is 5 shirts and 5 pants?
3x + y = 15 and x – y = 3
What is (6, 3)?
Scooters $8/day, bikes $12/day. 15 total rentals made $156. How many scooters and bikes?
What are 9 scooters and 6 bikes?