12/05/24 Solving Systems by Graphing and Elimination

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean to solve a system of equations by graphing?

Back

It involves plotting the equations on a graph and identifying the point(s) where they intersect, which represents the solution.

Front

What is the elimination method in solving systems of equations?

Back

A technique where one equation is manipulated to eliminate one variable, allowing for the solution of the remaining variable.

Front

Solve the system of equations: 5x - 3y = -36 and 2x + 3y = 15.

Back

(-3, 7)

Front

Solve the system of equations: 2x - 3y = -4 and -2x + 7y = -12.

Back

(-8, -4)

Front

Solve the system of equations: 3x + y = -14 and -2x - y = 9.

Back

(-5, 1)

Front

Solve the system of equations: -2x - 10y = 22 and 2x + 5y = -12.

Back

(-1, -2)

Front

Solve using elimination: -6x + 3y = -12 and 3x + 3y = -30.

Back

(-2, -8)

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane that shows all the solutions of the equation.

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means there is no solution to the system, as the lines never intersect.