4. Systems
Elimination Method — Quiz
Test your understanding of elimination method with 5 practice questions.
Practice Questions
Question 1
Given the system of equations:$3x - 4y = 10$$5x + 2y = 24$To eliminate $y$, what is the minimum positive integer by which the second equation must be multiplied?
Question 2
Solve the following system of equations using the elimination method:$2x + 3y = 7$$3x - 2y = 4$What is the value of $x$?
Question 3
When using the elimination method, if after performing operations, you arrive at an equation like $0 = 7$, what does this imply about the system of equations?
Question 4
Consider the system of equations:$4x - 5y = 1$$6x - 7y = 5$To eliminate $x$, what are the smallest positive integers by which the first and second equations, respectively, must be multiplied?
Question 5
Solve the following system of equations using the elimination method:$5x + 2y = 1$$3x + 4y = -5$What is the value of $y$?