Solve by Substitution - Check Understanding

Use substitution to set-up 1 equation to start solving this system of linear equations.

 $y\ =\ 3x\ +2$  

 $y\ =\ 2x\ -6$  

•  $2y\ =\ 5x\ -\ 4$  

•  $3x\ +2\ =\ 2x\ \ -6$  

•  $x\ =\ -4$  

•  $y\ =\ 3x\ +2\ +\ 2x\ -6$  

Use substitution to set-up 1 equation to start solving this system of linear equations.

 $y\ =\ 3x\ +2$  

 $2x\ +\ \ 5y\ =\ 10$  

•  $3x\ +\ 2\ =\ 2x\ +5y$  

•  $12\ =\ 3x\ +2x\ +\ 5y$  

•  $2x\ +\ 5\left(3x\ +2\right)\ =\ 10$  

Which system of linear equations creates this equation when substitution is used?

 $4x\ +\ 2\left(x\ +1\right)\ =\ 8$  

•  $4x\ +\ y\ =\ 8$  

  
   $2x\ +\ 2\ =\ 8$  
  

•  $y\ =\ x\ +\ 1$  

  
   $4x\ +\ y\ =\ 8$  
  

•  $4x\ +\ 2y\ =\ 8$  

  
   $y\ =\ x\ +\ 1$  
  

Which system of linear equations creates this equation when substitution is used?

 $7x\ +\ 3\ =\ 12x\ -5$  

•  $7x\ +\ 3y\ =\ 12$  

  
   $y\ =\ -5$  
  

•  $y\ =\ 12x\ -\ 5$  

  
   $y\ =\ 7x\ +\ 3$  
  

•  $7x\ =\ -5$  

  
   $12x\ =\ 3$  
  

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.
• Make sure at least one equation is solved for one variable.
• Make sure both equations are in slope-intercept form.
• Make sure both equations can be solved.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which one below is NOT a possible outcome of a system of linear equations?

• 1 solution that is a point

• no solution

• 2 points

• infinitely many solutions