Systems of Equations Eliminations

Systems by Elimination

5) x = ___

Systems by Elimination

6) x = ___

Solve the system by elimination.  

−8x − 10y = 20
−8x − 6y = −4 

• Infinite number of solutions  

• (6, 5) 

• (−6, −5) 

• (5, −6) 

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

• (5, 8)

• (5, -8)

• (-5, -18)

• (-5, 8)

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

What is the solution to the system of equations?

• (-1, -3)

• (3, 1)

• (1, 3)

• (-3, -1)

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

A method used to solve systems of equations in which one variable is elimnated by adding or subtraction two equations of the system and solving for the variable.

• Elimination Method

• Substitutuion Method

• Graph of a system of Linear equations in two variables.

• Solution of a system of linear equations

Consist of two or more linear equations that have the same variables.

• Linear System

• Function Notation

• Direct Variation

• Literal Equation