Solving Systems by Elimination: Key Concepts and Techniques

What methods can be used to solve systems of equations?

• Graphing

• All of the above

• Substitution

• Elimination

Which method involves adjusting coefficients to cancel out a variable?

• Graphing

• Substitution

• None of the above

• Elimination

What happens when you scale the coefficient of 't' in the first equation by 2?

• It becomes 6t

• It remains 3t

• It becomes 0

• It becomes 12t

What does multiplying an equation by a number affect?

• Both sides equally

• Only the left-hand side

• Only the right-hand side

• Neither side

What is the result of adding the scaled first equation to the second equation?

• t becomes 0

• g becomes 0

• No variables cancel out

• 6t cancels out

What is the value of 'g' after solving the simplified equation?

• 3

• 4

• 2

• 1

What is the combined value of '6t' and '-6t' after addition?

• -6t

• 6t

• 0

• 12t

How do you solve for 't' using the second equation after finding 'g'?

• Subtract g from both sides

• Multiply by g

• Add g to both sides

• None of the above

What is the final value of 't' after solving the equations?

• 3/2

• -3/2

• -2/3

• 2/3

What is verified by substituting the values of 't' and 'g' back into the original equations?

• None of the equations are satisfied

• Both equations are satisfied

• Only one equation is satisfied

• The solution is incorrect