System of equations with infinite solutions

Let's look at a system of equations that has infinite solutions: 22x+11y=4414x+7y=28 Try simplifying the top equation. What do you notice? 2x+y=42x+y=4 These are same equation!

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Equations with infinitely many or no solutions

Systems of linear equations with infinite solutions will cancel out both variables, yielding a true statement. This is because identical lines have the same slope and y-intercept and will
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Solving systems of linear equations

The system is said to be inconsistent otherwise, having no solutions. Systems of linear equations involving more than two variables work similarly, having either one solution, no solutions or