Systems of Equations

Which method would be the BEST choice to solve the system of equations below?

 $y=-4x+5$  

 $8x-2y=12$  

• Substitution, because the top equation has variables on opposite sides.

• Elimination, because the variables are on opposite sides for both equations.

• Elimination, because the variables are on the same side for both equations.

• Substitution, because the variables are on the same side for both equations.

Can you solve the system of equations below with Elimination?

 $2x+3y=7$  

 $4x-6y=10$  

• No, this would need to be Substitution.

• Yes, it can be solved with Elimination the way it is now.

• Yes, if you multiply the top equation by 2.

• Yes, because there is a variable by itself.

Find the slope (m) and y-intercept (b) for the equation below.
 $2y=6x+8$  

•  $m=6,\ b=8$  

•  $m=3,\ b=4$  

•  $m=6,\ b=2$  

•  $m=4,\ b=3$  

Solve the system of equations below.
 $y=-2x+1$  
 $2x+2y=-6$  

•  $\left(2,\ -3\right)$  

•  $\left(-7,\ 4\right)$  

•  $\left(-3,\ 2\right)$  

•  $\left(4,\ -7\right)$  

What would you need to multiply by in order to use elimination for the system of equations below?
 $3x-5y=10$  
 $4x+1y=6$  

• Multiply the bottom equation by 5.

• Multiply the top by 4 and bottom by 3.

• Multiply the top equation by -4

• Multiply the bottom equation by -5

Which equations below would make you want to do Substitution?

•  $y=3x+4$  
  

•  $2x+6y=30$  

•  $x=-4x-6$  

•  $7y-3x=15$  

Solve the system of equations below.
 $3x-4y=1$  
 $x+4y=11$  

•  $\left(3,\ 2\right)$  

•  $\left(2,\ 3\right)$  

•  $\left(6,\ 1\right)$  

•  $\left(1,\ 6\right)$  

Solve the system of equations below.
 $3x+3y=9$  
 $2x-y=-9$  

•  $\left(4,\ 17\right)$  

•  $\left(-2,\ 5\right)$  

•  $\left(5,\ -2\right)$  

•  $\left(17,\ 4\right)$