Systems of Equations

What method should we use to solve the following system of equations? 
 $x=-y-2$  

 $3x+3y=-6$  

• substitution

• elimination

• equal values

Answer explanation

The Substitution Method is useful when you have ONE equation in " $y=$  " or " $x=$  " form, and one equation in Standard Form

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How many solutions will this system of equations have?

• one solution

• no solutions

• infinitely many solutions

Answer explanation

when the variables cancel out and the values are equal to each other, there are infinitely many solutions

Tags

CCSS.8.EE.C.8B

What is the best method to solve for the following system of equations?
 $-x-3y=-7$  
 $2x+3y=11$  

• substitution

• elimination

• equal values

Answer explanation

The Elimination Method is useful when you have BOTH equations in Standard Form

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the following system of equations:

 $-x-3y=-7$  
 $2x+3y=11$  

• no solution

•  $\left(1,4\right)$  

•  $\left(4,1\right)$  

• infinitely many solutions

Tags

CCSS.8.EE.C.8B

What is the best method to solve the following system of equations?
 $y=2x+1$ 
 $y=-3x+6$   

• subsitution

• elimination

• equal values

Answer explanation

The Equal Values Method is useful when you have BOTH equations in " $y=$ " or " $x=$ " form

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Finish solving this problem.

• $x=1$

• $y=1$

• $x=-1$

• $y=-1$

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What method did they use to solve this problem?

• substitution

• elimination

• equal values

Tags

CCSS.8.EE.C.8B

How many solutions will this system have?

• one solution

• no solution

• infinitely many solutions

Answer explanation

when the variables cancel out and the values are not equal to each other, there are no solutions

Tags

CCSS.8.EE.C.8B

Solve the following system of equations:

 $10x+8y=-30$  

 $2x+5y=11$  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6