Solve System of Equations

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

Solve by graphing. Use graph paper or Desmos graphing calculator.

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Solve by substitution or graphing.

y = -2x + 18

y = 8

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)

Solve the following systems of equations using substitution:

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)

Solve by substitution.

3x + 4y =18

y=3

• (3, 2)

• (2,-3)

• (2,3)

• none of these

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)