Review of Systems of Equations

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system.

• (3, -2, 4)
• (2, -3, 1)
• (-3, 2, -1)
• Infinitely many solutions

Solve the system.

• (2, -2, 3)
• (2, 1, 4)
• (-2, 2, -3)
• No Solution

Solve the system. 

• (5, -6, 3)
• (2, 3, -1)
• (-4, 2, 5)
• No Solution

What is your solution if your variables go away and you are left with 0 = 0?

• No Solution
• All Real Numbers
• Infinitely Many Solutions
• (x, y, z)

Tags

CCSS.8.EE.C.7A

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

Tags

CCSS.HSA.REI.C.7

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

*Use the "substitution" method*

 $x^2+y=-5$  
 $y=x+3$  

• No Solutions

•  $\left(2,-9\right)$  

•  $\left(-1,-6\right)$  

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

Tags

CCSS.HSA.REI.C.7

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

Tags

CCSS.HSA.REI.C.7

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

Tags

CCSS.HSA.REI.C.7