Graphical Method to Solve Pair of Linear Equations

• (4,3)

• (3,4)

• (1,0)

• (6,0)

The intersction point of x+y=10 and x-y=2 is

• (6,4)

• (-6,2)

• (2,3)

• (4,6)

if a₁x+b₁y+c₁=0 and a₂x+b₂y+c₂=0 are in consistent then,

• 
• 
• 
• 

For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?

• 1/2

• −1/2

• 2

• −2

Identify the nature of solution from the graph given.

• Consistent and unique solution

• Inconsistent : No solution

What is the solution? 

• 1

• -2

• (1, 2)

• (1, -1)

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• The same line 

• Intersecting lines

• A triangle

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

Identify which method for solving systems is being described by this fact: The intersection point of the two lines is an ordered pair (x, y) and determines the value of the solution to the system of equations.

• Graphing

• Substitution

• Elimination (linear combination)

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)