y = x + 4
y = 2x + 5
If using elimination to solve, what should the first equation be multiplied by in order to eliminate x?
x - y = -10
x - -6y = -25
-1
x = 4y
2x + 3y = 22
At a farm, the cost of a ticket for a hayride for an adult is 2 times the cost of a ticket for a child. A group of 2 adults and 10 children paid a total of $77 for hayride tickets. This pair of equations shows the relationship between x, the cost of a ticket for an adult, and y, the cost of a ticket for a child. What is the cost of a ticket for an adult and the cost of a ticket for a child?
Adult $9
Child $5.50
y = 3x - 2
y = -x - 2
8a + 5b = 9
2a - 5b = -4
Solve the system of equations:
y = 3x -1
2x -2y = 10
(-2, -7)
Thomas paid $4.25 for three apples and four oranges. Five apples and two oranges cost Casey $4.75. Let x represent the number of apples and y represent the number of oranges.
what is the price for one apple and one orange?
Apple $0.75
Orange $0.50
The solution to the system of equations:
y = -3
x = 5
What is (5, -3)
2x + 3y = 6
3x + 5y = 15
y = 3x - 1
7x + 2y = 37
A jar containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. Solve by elimination to find the number of nickels and dimes that are in the jar.
31 nickels
29 dimes
y = (1/3)x - 3
2x - y = 8
2a - 4b = 12
-8a + 16b = -48
3s - 2t = 4
t = 2s - 1
y - 3x = 3
y = 3x - 2
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
t + u = 12
t = (1/3)u
The amount of money each child received when Mr. Vogel left $25,000 divided between his son and daughter, with the daughter receiving $5000 less than the son.
What is $15,000 for the son and $10,000 for the daughter?