Solving Simultaneous Equations
Learning Objective
I can solve simultaneous equations using substitution or elimination.
Key Concepts
The elimination technique involves adding two equations together in a way that one of the variables is eliminated.
To eliminate a variable, you may need to multiply one or both equations by a constant so that the coefficients of one variable are opposites.
Once you solve for one variable, you can substitute that value back into one of the original equations to solve for the other variable.
Practice Questions
This lesson includes 5 practice questions to reinforce learning.
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1. Explain in your own words why multiplying both sides of an equation by the same number doesn't change the solution.
2. Consider the system of equations: 4x + 3y = 10 and 2x - y = 2. What is the least common multiple you would use to eliminate the 'x' variable?
3. When using elimination, why is it important to multiply all terms in the equation by the chosen factor?
...and 2 more questions
Educational Video
Using Elimination to Solve Systems
Brian McLogan