Number of Solutions (Linear System Equations)

How many solutions are in the following system?

 $y\ =\ 7x\ -\ 2$  

 $y\ =\ -2\ +\ 7x$  

• ONE Solution

• NO Solution

• INFINITELY MANY Solutions

How many solutions are in the following system?

 $y\ =\ -5x\ +\ 6$  

 $y\ =\ 6x\ -\ 5$  

• ONE Solution

• NO Solution

• INFINITELY MANY Solutions

How many solutions are in the following system?

 $y\ =\ 14x\ +\ 9$  

 $y\ =\ 14x\ +\ 1$  

• ONE Solution

• NO Solution

• INFINITELY MANY Solutions

How many solutions are in the following system?

 $y\ =\ 6\ +\ 4x$  

 $y\ =\ 4x\ +\ 5$  

• ONE Solution

• NO Solution

• INFINITELY MANY Solutions

How many solutions are in the following system?

 $y\ =\ 3x\ -\ 2$  

 $2y\ =\ 6x\ -\ 4$  

• ONE Solution

• NO Solution

• INFINITELY MANY Solutions

How many solutions are in the following system?

 $y\ =\ 10x$  

 $y=\ 10x\ -\ 5$  

• ONE Solution

• NO Solution

• INFINITELY MANY Solutions

How many solutions are in the following system?

 $3y\ =\ 21x$  

 $y=\ 8x$  

• ONE Solution

• NO Solution

• INFINITELY MANY Solutions

If a linear system has equations with DIFFERENT SLOPES, how many solutions will you have?

• ONE Solution

• NO Solution

• INFINITELY MANY Solutions