Solve Systems Equal Values

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

• 10c + 5d = 14.25
  5c + 10d = 16.50

• 10c + 5d = 16.50
  5c + 10d = 14.25

• c + d = 10
  5c + 10d = 16.50

• c + d = 5
  5c + 10d = 16.50

Solve:
x + y = 4
-5x - 6y = -18

• (6, -2)

• (-6, 10)

• (2, 2)

• (-2, 6)

When both lines in a system are identical, the system has __________________.

• infinite solutions

• one solution

• no solution

• parallel solutions

• (1,3)

• (1,-3)
  

• (1,1)

• (8,0)

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

This system has _____ solutions

• no

• 1

• 2

• Infinitely many

What is the solution?

• (6, 3)

• (3, 6)

• (-6, 3)

• No solution

Solve the following problem
y=x+2
y=4x+23

• (7,5)

• x=-7

• (-7,-5)

• x=-7 and y=-5

Solve the following
y=4x+24
y=x+9

• (-4,-5)

• (-5,4)

• y=4

• x=-5

Solve the following
y=x+4
y=5x+20

• No Solution

• (4,0)

• (-4,0)

• x=-4