Solve the System of Equations

Solve the system by graphing:
y = 6x - 4
y = -x + 3

• (1, 2)

• (2, 1)

• (4, 5)

• (2, 4)

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Solve this system of equations by graphing. Use graph paper or Desmos graphing calculator.

y = 1/2x + 2

y = -3x + 9

• (2, 3)

• (-2, -3)

• (3, 2)

• (-3, 2)

Solve by substitution or graphing.

y = -2x + 18

y = 8

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)

Solve this system of equations by graphing (you may use Desmos)

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

3x + y = –14

–2x – y = 9

• (-5,1)

• (5,-1)

• (1,4)

• (-1,4)

–2x + y = 10

4x – y = –14

• (1,5)

• (6,2)

• (-2,6)

• (4,6)

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

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)