Solving System of Linear Equations Elimination and Substitution

Solve by elimination
-12x-4y= -8 
  -6x-2y= -4

• no solution 

• (0,0)

• infinite solutions 

• (4,0)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

-4x-2y=-12
4x+8y=-24

• (5,6)

• (6,-6)

• (6,-2)

• (4,-3)

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

Two equations that produce the same line have _____ solution(s).

• no

• one

• infinitely many

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Intersecting lines have _____ solution(s).

• No

• One

• many

Select all the methods you can use to solve a system of equations

• Graphing

• Elimination

• Substitution

• Using a Table

• Desmos

Two or more linear equations with the same variables

• Set of Linear Equations

• System of Linear Equations

• Process of Linear Equations

• Multiple Linear Equations