Solving Systems Graphing and Substitution

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean if a system of equations has one solution?

Back

The lines representing the equations intersect at exactly one point.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

The lines representing the equations are the same line, meaning they intersect at every point.

Front

How do you solve a system of equations by graphing?

Back

You graph each equation on the same coordinate plane and identify the point(s) of intersection.

Front

How do you solve a system of equations by substitution?

Back

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

Front

What is the y-coordinate of the solution (1,3)?

Back

3

Front

What is the x-coordinate of the solution (1,3)?

Back

1

Front

If y = -2, what is the solution to the system 2x - 5y = 12?

Back

(1, -2) because substituting y = -2 gives x = 1.

Front

What is the graphical representation of the equation y = -2?

Back

A horizontal line that crosses the y-axis at -2.