Solve Linear Equations with One Solution, No Solution, or Infinitely Many Solutions

Solve:
-2x + 5y = -1
4x - 2y = -6

• (-2, -1)

• (2, 7)

• (3, 1)

• (-1, -2)

Which image shows a system of linear equations with no solutions?

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The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

• 5q + 2z = 1.32
  1z = 0.75

• 5q + 2z = 1.32
  3q + 1z = 0.75

• q + z = 1.32
  q + z = 0.75

• 5q + 2z = 0.75
  3q + 1z = 1.32

Using elimination or substitution, what is the solution to the following equations?

• (3, -2)

• (2, -3)

• (-3, -2)

• (-2, 3)

Which image shows a system of linear equations with infinitely many solutions?

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Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

• a + c = 21
  6a + 4c = 104

• a + c = 104
  6a + 4c = 21

• a + c = 21
  6c + 4a = 104

• a + c = 104
  6c + 4a = 21

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

What is a solution of a linear system?

• the slope of the line

• the y-intercept

• the point where the systems intersect

• the rise over tun

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution