Solve System

solve by inspection

y= ¾ x + 5

y= -¾ x + 5

• No Solution

• One Solution

• Infinitely Many Solutions

Which is a true statement about the system of equations graphed below?

• The system of equations does not have a solution because

  the lines do not intersect.

• The system of equations has one solution, although it is not

  visible on the graph.

• The system of equations has an infinite number of solutions.

• None of the statements above are true.

Jane is practicing solving systems of equations by inspection. She thinks that y = 5/6x + 2 and y = 5/6x – 2 would have exactly one solution. Is she correct? Why or why not?

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Does the system have one, none or infinite solutions?

y = 2x -11

y = 2x +5

• One

• None

• Infinitely many solutions

Solve this system of equations by substitution.

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the system of equations by substitution.

• (3, -24)

• (0, 4)

• (-24, 3)

• No solution

• Infinite solutions

Solve the system of equations by substitution.

• (-6, 10)

• (-2, 10)

• (-2, 7)

• (-6, 8)

Solve the system of equations by substitution.

y = 4x - 10

y = 3x - 5

• (7 , -15)

• (1, -5)

• (5 , 10)

• (1, 2)

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Solve this system of equations by graphing.

y = 2x

y = 3x + 1

• (-1, -2)

• (2, 1)

• (2, 4)

• (-2, -3)