Solving Systems of Equations Through Inspection

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

• intersecting lines

• parallel lines

• skew lines

• the same line (coinciding lines)

Tags

CCSS.8.EE.C.8A

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Tags

CCSS.8.EE.C.8B

How many solutions are there for this system of equations?

• One

• None

• Infinitely many

Tags

CCSS.8.EE.C.8A

What is the solution to this system?

y = 2x + 10

y = 2x - 4

• (2, 6)

• (0, 14)

• Infinitely many solutions

• No solution

Tags

CCSS.8.EE.C.8B

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

The system will have (a)   solutions.

• One

• Two

• No Solution

• Infinitely Many Solutions

Answer explanation

The system has one solution because the equations are consistent and intersect at a single point. This indicates a unique solution, confirming that the correct answer is 'One'.

Tags

CCSS.8.EE.C.8B

Enter the x coordinate of the solution to this system of equations. HINT: Make sure both equations are in (y=mx+b) form. Then do the shortcut with DESMOS

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which point satisfies the system of equations shown in the table?

• (-2, -5)

• (0, -5)

• (6, 7)

• (7, 7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Enter the x coordinate of the solution to this system of equations.

HINT: Make sure both equations are in (x + y = #) form. Then do the shortcut.

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Tags

CCSS.8.EE.C.8B