Solving Systems: Graphing and Substitution Review

Front

What is a system of equations?

Back

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

Front

What does it mean for a point to be a solution to a system of equations?

Back

It means that the point satisfies all equations in the system.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into each equation and check if they hold true.

Front

What is the graphical representation of a system of equations?

Back

The intersection point(s) of the lines representing the equations.

Front

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

Back

The system has no solution because the lines never intersect.

Front

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

Back

The system has infinitely many solutions because the lines are the same.

Front

What is the substitution method for solving systems of equations?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

What is the graphing method for solving systems of equations?

Back

Graph both equations on the same coordinate plane and identify the intersection point.

Front

What is the solution to the system: y = x - 2 and y = -x + 2?

Back

(2, 0)

Front

Is (-3, 1) a solution to the system: x + y = -2 and 2x - 2y = -8?

Back

Yes, (-3, 1) is the solution.