Systems of Non-Linear Equations

Find ALL solutions to the system of non-linear equations:

*Use the "equal values method"*

 $y=x^2+6x-9$  

 $y=6x$  

•  $\left(3,18\right)\&\left(-3,-18\right)$  

•  $\left(3,18\right)$  

•  $\left(-3,-18\right)$  

• No Solutions
  

Tags

CCSS.HSA.REI.C.7

Find ALL solutions to the system of non-linear equations:

*Use the "equal values method"*

 $y=-2x-5$  
 $y=x^2+2x+5$  

• No Solutions

•  $\left(1,-7\right)$  

•  $\left(2,-9\right)$  

•  $\left(1,-7\right)\&\left(2,-9\right)$  

Find ALL solutions to the system of non-linear equations:

*Use the "equal values method"*

 $y=x^2-6x+8$  
 $y=2x-4$  

•  $\left(2,0\right)\&\left(6,8\right)$  

•  $\left(2,0\right)$  

•  $\left(6,8\right)$  

• No solutions

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Find ALL solutions to the system of non-linear equations:

*Use the "substitution" method*

 $x^2+y=1$  

 $y=2-2x$  

•  $\left(1,0\right)$  

•  $\left(-1,4\right)$  

•  $\left(1,0\right)\&\left(-1,4\right)$  

• No Solutions

Find ALL solutions to the system of non-linear equations:

*Use the "substitution" method*

 $x^2+y=-5$  
 $y=x+3$  

• No Solutions

•  $\left(2,-9\right)$  

•  $\left(-1,-6\right)$  

•  $\left(2,-9\right)\&\left(-1,-6\right)$  

Find ALL solutions to the system of non-linear equations:

*Use the "substitution" method*

 $x^2+y=125$  
 $y=4x^2$  

•  $\left(5,100\right)\&\left(-5,100\right)$  

•  $\left(5,100\right)$  

•  $\left(-5,100\right)$  

• No Solutions

Find ALL solutions to the system of non-linear equations:

*Use the "elimination-multiplication" method*

 $x^2+3y^2=28$  

 $x^2-y^2=12$  

•  $\left(4,\pm2\right)\&\left(-4,\pm2\right)$  

•  $\left(4,\pm2\right)$  

•  $\left(-4,\pm2\right)$  

• No Solutiions

Find ALL solutions to the system of non-linear equations:

*Use the "elimination-multiplication" method*

 $5x^2-2y^2=27$  

 $4x^2-y^2=51$  

•  $\left(5,\pm7\right)\&\left(-5,\pm7\right)$  

•  $\left(-5,\pm7\right)$  

•  $\left(5,\pm7\right)$  

• No Solutions