Systems of Linear Equations

How can you tell if a point is a solution to a system?

• It makes the first equation true.
• The (x,y) coordinates satisfy both equations
• It makes logical sense
• It makes neither equation negative

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

What is the solution?

• No solution
• (0, 2)
• (0, -4)
• (3, -3)

Classify the system of equations

• consistent and independent

• consistent and dependent

• inconsistent

Classify the system of equations.

• consistent and independent

• consistent and dependent

• Inconsistent

The solution to the system is

• (-2, -8)
• (-8, -2)
• (2, -8)
• No solution

Solve the system of equations using substitution:
4x - 2y = 6
y = 3x - 3

• (3, 6)
• (-7, 1)
• (0, -3)
• (2, 3)

Solve the system of equations.

y = 4x + 1

3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Solve using substitution

2x + y = 9

y = 5x + 2

• (1,7)

• (2,5)

• (-1,-3)

• (5,-1)