The quadrant in which the solution to the following system lies:
y = x + 4
y = 2x + 5
What is Quadrant II
r + s = -6
r - s = -10
x = 4y
2x + 3y = 22
The sum of two numbers is 104. Their difference is 68. What are the numbers?
x+y=104
x-y=68
x=86 y=18
y = 3x - 2
y = -x - 2
8a + 5b = 9
2a - 5b = -4
y = x - 2
3x - y = 16
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?
6S+8H=700
9S+6H = 660
S= $30
The answer to an equation or system of equations.
What is a solution?
y = -3
x = 5
2x + 3y = 6
3x + 5y = 15
y = 3x - 1
7x + 2y = 37
The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.00 if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500.
x+y=600
5x+7.5y=3500
x= 400 advanced tickets
y= 200 game-day tickets
y = (1/3)x - 3
2x - y = 8
2a - 4b = 12
-8a + 16b = -48
3s - 2t = 4
t = 2s - 1
The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width
2L+2W=78
L=2W
L= 26 W=13
The vehicle by which presents are transported on Christmas Eve.
What is Santa's Sleigh?
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 $2,500 less than the son.
x+y=$25,000
x=y-$2,500
$13,750 for the son and $11,250 for the daughter