Solving by Substitution (CW)

Front

What is the substitution method in solving systems of equations?

Back

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

Front

What does it mean for two lines to intersect?

Back

It means they have a common solution, which is the point where they meet on a graph.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

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

Back

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

Front

What is the solution of a linear system?

Back

The point where the graphs of the equations intersect.

Front

If y = 2x + 3, what is y when x = 1?

Back

y = 5.

Front

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

Back

The lines are parallel and never intersect.

Front

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

Back

The lines are the same, meaning they overlap completely.

Front

How do you check if your solution to a system of equations is correct?

Back

Substitute the solution back into both original equations to see if they hold true.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.