Substitution Method in Solving Systems of Equations

What is the primary goal of the substitution method in solving systems of equations?

• To multiply equations to find a common solution

• To substitute one variable in terms of another

• To eliminate one variable by adding equations

• To graph the equations and find their intersection

When using the substitution method, what is a common mistake students make after finding the value of one variable?

• Forgetting to check the solution

• Not substituting back to find the other variable

• Using the wrong equation to substitute

• Multiplying the equations incorrectly

In the substitution method, what is the benefit of isolating a variable before substituting?

• It ensures the solution is always correct

• It eliminates the need for further calculations

• It allows for easier graphing

• It simplifies the equation to one variable

What does it mean if, after substitution, all variables disappear and you are left with a true statement like 0=0?

• The system has no solution

• The system has infinite solutions

• The system has a unique solution

• The system is inconsistent

What is indicated by a false statement, such as 16=15, after using the substitution method?

• The system has infinite solutions

• The system has a unique solution

• The system is inconsistent with no solutions

• The system needs to be re-evaluated