Solving Systems by Graphing (Use DESMOS!)

Identify the solution of the system: y = 2x - 3 and y = -x + 5

• The solution is (0, 5)

• The solution is (3, 2)

• The solution is (2, 1).

• The solution is (4, -1)

Determine if the system has one solution: y = 3x + 2 and y = 3x - 1

• Not sure

• Maybe

• Yes

• No

Determine if the system has no solution: 2x - 4y = 8 and 4x - 8y = 16

• The system has infinite solutions

• The system has two solutions

• The system has one unique solution

• The system has no solution

Determine if the system has infinitely many solutions: 3x + 2y = 6 and 6x + 4y = 12

• Maybe

• Yes

• Not sure

• No

Find the intersection point of the lines: y = 2x - 1 and y = -3x + 5

• The intersection point is (2, 3).

• The intersection point is (0, 5).

• The intersection point is (-1, 2).

• The intersection point is (4, 1).

Identify the solution of the system: 4x - 2y = 8 and 2x - y = 4

• x = 3 and y = 1

• x = 5 and y = 2

• x = 1 and y = 3

• x = 2 and y = 0

Determine if the system has one solution: 5x + 3y = 12 and 10x + 6y = 24

• Maybe

• Yes

• No

• Not sure

Determine if the system has no solution: 2x - 3y = 7 and 4x - 6y = 14

• The system has exactly one solution

• The system has no solution

• The system has infinitely many solutions

• The system has two solutions

Determine if the system has infinitely many solutions: 3x - 2y = 6 and 6x - 4y = 12

• Yes, the system has infinitely many solutions.

• No, the system has two solutions.

• Yes, the system has only one solution.

• No, the system has no solutions.

Find the intersection point of the lines: y = -2x + 3 and y = 4x - 1

• (2, 3)

• (0, 4)

• (-1, 2)

• (1, 1)