Solving Linear Systems by Graphing

Graph the following linear system: y = 2x + 3 and y = -3x + 5. Determine the solution by finding the point of intersection.

• The point of intersection is (0, 0).

• The point of intersection is (1, 1).

• The point of intersection is (2, 7).

• The point of intersection is (5, 3).

Tags

CCSS.8.EE.C.8B

Using the intercept method, graph the linear system: 3x - 2y = 6 and 2x + y = 4. Identify the solution from the point of intersection.

• The solution from the point of intersection is (0, 2)

• The solution from the point of intersection is (2, 0)

• The solution from the point of intersection is (3, 1)

• The solution from the point of intersection is (4, -2)

Tags

CCSS.8.EE.C.8B

Graph the linear system: y = -x + 4 and y = 2x - 1. Determine the solution by analyzing the point of intersection.

• The point of intersection is (-2, 3).

• The point of intersection is (0, 4).

• The point of intersection is (3, 1).

• The point of intersection is (5, -2).

Tags

CCSS.8.EE.C.8B

Using the intercept method, graph the linear system: 4x + 3y = 12 and 2x - y = 5. Find the solution by locating the point of intersection.

• The solution by locating the point of intersection is (3, -1).

• The solution by locating the point of intersection is (2, 3).

• The solution by locating the point of intersection is (6, -2).

• The solution by locating the point of intersection is (0, 5).

Tags

CCSS.8.EE.C.8B

Graph the linear system: y = 3x - 2 and y = -2x + 5. Identify the solution by examining the point of intersection.

• The solution is the point of intersection, which is (0, 0).

• The solution is the point of intersection, which is (5, -2).

• The solution is the point of intersection, which is (1, 1).

• The solution is the point of intersection, which is (3, 2).

Tags

CCSS.8.EE.C.8B

Graph the linear system: y = 2x + 1 and y = -x + 3. Find the solution by analyzing the point of intersection.

• The solution is (1, 3).

• The solution is (0, 4).

• The solution is (3, 2).

• The solution is (2, 1).

Tags

CCSS.8.EE.C.8B

Graph the linear system: y = -2x + 6 and y = x + 2. Determine the solution by finding the point of intersection.

• The point of intersection is (2, 2).

• The point of intersection is (0, 0).

• The point of intersection is (3, 4).

• The point of intersection is (5, 1).

Tags

CCSS.8.EE.C.8B

Using the intercept method, graph the linear system: 3x + 2y = 12 and 4x - y = 8. Identify the solution from the point of intersection.

• The solution from the point of intersection is (0, 4).

• The solution from the point of intersection is (4, 0).

• The solution from the point of intersection is (2, 3).

• The solution from the point of intersection is (6, 2).

Tags

CCSS.8.EE.C.8B