4-5 Practice

A system of equations is represented by a table and a graph. What is the solution to the system?

What is the solution to the system from the tables?

What is the y-value in the solution to the system below?

 $y=-\frac{1}{2}x+9$  
 $y=7x-6$  

*Type the number only.

Write the system of equations in Standard Form for the tables. 

•  $x+2y=-4$ 
   $3x+2y=-4$ 
  

•  $x+2y=-4$ 
   $3x+2y=4$ 
  

•  $x+2y=4$ 
   $3x+2y=4$ 

•  $x-2y=-4$ 
   $3x-2y=4$ 

Which system of equations is represented by the table?

• $y=\frac{17}{3}x-9$
  

  $y=\frac{2}{3}x-6$
  

• $y=\frac{17}{3}x+9$
  

  $y=\frac{2}{3}x+6$
  

• $y=\frac{17}{3}x+9$
  

  $y=\frac{2}{3}x-6$
  

• $y=\frac{17}{3}x-9$
  

  $y=\frac{2}{3}x+6$
  

Determine the number of solutions to the system.

 $-x+2y=-3$  

 $-2x+4y=-6$  

• One Solution

• No Solution

• Infinitely Many Solutions

Write the system of equations in Standard Form from the tables.

• $x-3y=9$
  

  $5x-3y=9$
  

• $x-3y=9$
  

  $5x+3y=9$
  

• $x+3y=9$
  

  $5x+3y=-9$
  

• $x+3y=9$
  

  $5x+3y=9$
  

What is the x-value of the solution to this system?

 $x=-y+2$  
 $4x-6y=-22$  

*Type the number only.*

Solve the system.

 $-2x-9y=8$  

 $-5x-8y=-9$  

Find the y-value in the system of equations.

 $2x-8y=-38$  

 $x=91-6y$  

*Type the number only.