Systems of Equations

What is the solution?

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

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Find the soultion of the linear system using the substitution method.

y=3x

2x-3y=14

• (-2, -6)

• No Solution

• (-2, 6)

• Infinitely Many Solutions

Solve this system of equations.

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• just one line

What is a solution of a linear system if the lines are the same?

• One Solution

• No Solution

• Many Solutions

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (0, 3)

• (0, 5)

• (-3, 5)

^–2x − y = ^–3

^–2x − 3y = ^–17

• (2,-7)

• (-2,7)

• (-5,8)

• (5,8)

8x − 4y = ^–20

^–2x + 2y = 14

• (1,9)

• (2,5)

• (6,4)

• (2,9)