12/10/24 Do Now - Systems of Equations (Elimination)

Front

Which variable will be eliminated in the system of equations: 4x + 8y = 20 and -4x + 2y = -30?

Back

The x

Front

What is a system of equations?

Back

A system of equations is two or more equations whose variables have the same value and show an intersection on the graph.

Front

What is the solution to the system of equations: 4x + 8y = 20 and -4x + 2y = -30?

Back

(7,-1)

Front

What method can be used to eliminate a variable in a system of equations?

Back

Elimination method.

Front

What does it mean for two equations to be consistent?

Back

Two equations are consistent if they have at least one solution.

Front

What does it mean for two equations to be inconsistent?

Back

Two equations are inconsistent if they have no solutions.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection point(s) of the lines on a coordinate plane.

Front

What is the first step in the elimination method?

Back

Align the equations and manipulate them to eliminate one variable.

Front

How can you check the solution of a system of equations?

Back

Substitute the solution back into the original equations to see if both are satisfied.

Front

What is the significance of the coefficients in a system of equations?

Back

Coefficients determine the slope and position of the lines represented by the equations.