Solving Systems by Substitution & Graphing

Front

What is the first step in solving a system by Substitution?

Back

Make sure at least one equation is solved for one variable.

Front

What is the solution to the system of equations: y = 6x - 11 and -2x - 3y = -7?

Back

(2, 1)

Front

Solve the following system: y = 2x + 1 and y = 4x - 1.

Back

(1, 3)

Front

Solve the following system: 2x - y = -1 and y = x - 1.

Back

(-2, -3)

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable and substituted into the other equation.

Front

What is the graphical method of solving systems of equations?

Back

Plotting both equations on a graph and identifying the point(s) where they intersect.

Front

What is the significance of the intersection point in a graph of two equations?

Back

It represents the solution to the system of equations.

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

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

Back

The system has no solution, as the lines never intersect.