Systems of Equations Standard Form

what does the top equation need to be multiplied by to create a zero pair?

2x - 6y = 20

2x + 5y = -11

• -1

• 1

• -2

• 2

what would the top equation become when you multiply everything by -1?

• 2x - 6y = 20

• -2x - 6y = -20

• -2x + 6y = 20

• -2x + 6y = -20

2 or more linear equations with the same set of variables

• System

• System of Equations

• Linear Equations

• Quadratic Equations

a solution to a system that results in one x value and one y value that will satisfy both equations 

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

a solution to a system that results in an unlimited amount of x values and an unlimited amount of y values that will satisfy both equations

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

a solution to a system of equations that results in no x or y value that will satisfy both equations

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

0 = 0

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

Solve using elimination. 
−4x − 4y = 0
  8x + 8y = 0 

• (−6, −4) 

• Infinite number of solutions  

• No solutions

• (6, 4) 

Solve by elimination:
4x + 4y = 4
3x + 4y =10

• (7,-6)

• (-6,7)

• (6,7)

• (7,6)

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions