Station 2C: Solving Systems by Substitution

Front

What is a system of linear equations?

Back

A set of 2 or more equations.

Front

What does the solution to a system of equations represent?

Back

Any ordered pair that makes both equations true.

Front

If y = 4, what is the value of 3y + 5?

Back

17

Front

Solve the system of equations: y = 5x + 1 and y = 3x + 13. What is the solution?

Back

(6, 31)

Front

What is the substitution method in solving systems of equations?

Back

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

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a coordinate plane.

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 equations represent the same line, so every point on the line is a solution.

Front

How do you check if an ordered pair is a solution to a system of equations?

Back

Substitute the values of the ordered pair into both equations to see if they hold true.

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one of the equations for one variable.