Flashcardizz: 4.6 Solving by Substitution

Front

What does it mean if, when solving a system by substitution, all variables cancel out and you get a statement like 5 = 2?

Back

No solutions

Front

What is the first step to solve a system of equations using substitution?

Back

Solve one equation for one of the variables.

Front

What is the result of substituting a variable into an equation?

Back

You replace the variable with its equivalent expression from another equation.

Front

What does it indicate if you end up with a true statement (e.g., 0 = 0) after substitution?

Back

Infinite solutions

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

When is substitution not a suitable method for solving a system of equations?

Back

When the equations are not easily solvable for one variable.

Front

What is the purpose of graphing both equations in a system?

Back

To visually find the point of intersection, which represents the solution.

Front

What does it mean if two lines are parallel when graphed?

Back

The system has no solutions.

Front

How can you check your solution after using substitution?

Back

Substitute the solution back into the original equations to verify.

Front

What is a common mistake when using substitution?

Back

Incorrectly solving for the variable before substitution.