System of Equations - Solutions

Why will these graphs never cross?

• They have the same y-intercept.

• They have the same slope.

• They are both lines.

• They are both positive slopes.

Tags

8.EE.C.7.a

A system of equations with no solution will have lines that...

• are the same

• cross in one place

• are parallel and never touch

Tags

8.EE.C.7.a

How many solutions does this system of equations have ?

• No Solution

• One Solution

• Infinite Solutions

Tags

8.EE.C.7.a

Determine if the point (3, 4) is a solution to the system of equations: 2x - y = 2 and x + 3y = 13.

• Not sure

• Maybe

• No

• Yes

Using the substitution method, solve the system of equations: 3x - 2y = 8 and 2x + y = 10. Then, determine if the point (2, 4) is a solution to the system.

• The point (2, 4) is not a solution to the system, but (3, 2) is.

• Yes, the point (2, 4) is a solution to the system.

• The point (2, 4) is not a solution to the system, but (4, 2) is.

• No, the point (2, 4) is not a solution to the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations: x + 2y = 7 and 3x - y = 5 using the substitution method. Then, determine if the point (1, 3) is a solution to the system.

• No, the point (1, 3) is a solution to the system of equations.

• Yes, the point (1, 3) is a solution to the system of equations.

• The point (1, 3) cannot be determined if it is a solution to the system of equations.

• No, the point (1, 3) is not a solution to the system of equations.

Tags

CCSS.HSA.REI.C.9

Determine if the point (4, 2) is a solution to the system of equations: 2x - 3y = 5 and 4x + y = 14.

• Maybe

• Not sure

• Yes

• No

Determine if the point (3, 2) is a solution to the system of equations: 3x + 2y = 13 and 2x - y = 4.

• Not sure

• Yes

• Maybe

• No

Using the substitution method, solve the system of equations: 2x - y = 5 and x + 3y = 11. Then, check if the point (1, 2) is a solution to the system.

• The solution to the system of equations is x = 4, y = 1. The point (1, 2) is not a solution to the system.

• The solution to the system of equations is x = 5, y = 0. The point (1, 2) is a solution to the system.

• The solution to the system of equations is x = 2, y = 3. The point (1, 2) is a solution to the system.

• The solution to the system of equations is x = 3, y = 2. The point (1, 2) is a solution to the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Check if the point (0, 3) is a solution to the system of equations: 5x - 2y = 6 and 2x + 3y = 9.

• Maybe

• No

• Not sure

• Yes