Which Method?
Which method is easiest to solve this system?
y = 6x − 11
−2x − 3y = −7
Substitution
y = −2
4x − 3y = 18
(3, -2)
−4x − 2y = −12
4x + 8y = −24
(6, -6)
y = - 5/3 x + 1
y = - 1/3 x - 3
(3, -4)
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.
small box - $7, large box - $13
Which method is easiest to solve this system?
−3x − 4y = 2
3x + 3y = −3
Elimination
2x − 3y = −1
y = x − 1
x − y = 11
2x + y = 19
(10, -1)
y = 2x - 3
y = -3x + 2
(-1, -1)
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
senior - $8, child - $14
Which method is easiest to solve this system?
−5x − 8y = 17
2x − 7y = −17
Elimination
−4x + y = 6
−5x − y = 21
(-3, -6)
−6x + 6y = 6
−6x + 3y = −12
(5, 6)
5x + y = 4
x - y = 2
(1, -1)
At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00. Find the prices of the hats and gloves.
gloves - $8.50, hats - $6.50
Which method is easiest to solve this system?
−2x − y = −9
5x − 2y = 18
Substitution
2x + y = 20
6x − 5y = 12
(7, 6)
−4x + 9y = 9
x − 3y = −6
(9, 5)
-2y - 5x = 2
-5x = 2y - 4
no solution
Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?
2 fancy 5 plain
Which method is easiest to solve this system?
x + 3y = 1
−3x − 3y = −15
The are equally easy. Both.
−3x + 3y = 4
−x + y = 3
No solution
3x − 2y = 2
5x − 5y = 10
(-2, -4)
-2x - y = 1
-6x = 3y + 3
infinite solutions
Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. He wrote a system of equations to represent this situation, letting n represent the number of nickels and q represent the number of quarters. What is the solution to the system?
6 nickels, 9 quarters