Linear Equations Infinitely Many Solutions

How many solutions does the system of equations below have?

• One Solution

• No Solution

• Infinitely Many Solutions Infinitely Many Solutions

What is the solution to the system of linear equations graphed below?

• No Solution

• Infinitely Many Solutions

• One Solution: (0, 2)

• One Solution: (2, 6)

• Infinitely many solutions

• (3,-7)
  

• (5,9)

• No solution

• (6,-2)

• (4,-8)

• Infinitely many solutions

• No solution

The value of k for which the system of equations 3x+5y=0 and kx+10y=0 have infinitely many solutions is _______

• 0

• 2

• 6

• 8

For what value of k will the following equations have infinitely many solutions? 2x-3y=7, (k+1) x+ (1-2k) y=5k-4

• 1

• 2

• 3

• 5

What is the missing information that would make the statement true for INFINITE (All) solution?

_ + 10 = 5x + 10

What would the value of m need to be in the second equation for the answer to represent INFINITE SOLUTIONS?

• 2

• 4

Select all the methods you can use to solve a system of equations

• Graphing

• Elimination

• Substitution

• Using a Table

• Desmos

Lines who's graphs intersect infinitely many times

• System of equations

• Coincident Lines

• Parallel Lines

• Perpendicular Lines