Solving Systems by Substitution

Front

What is a system of equations?

Back

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

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 one solution?

Back

The lines representing the equations intersect at exactly one point.

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 overlap completely.

Front

How do you solve a system of equations by substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Front

What is the solution to the system: y = 2x + 1 and y = 3x - 2?

Back

(3, 7)

Front

What does the graph of a system with no solution look like?

Back

Two parallel lines that never intersect.

Front

What does the graph of a system with one solution look like?

Back

Two lines that intersect at a single point.

Front

What does the graph of a system with infinite solutions look like?

Back

One line that is represented by two equations.

Front

If x = 4 and y = 3, what is the ordered pair?

Back

(4, 3)