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Augmented Matrices with 0, 1 or Infinite Solutions 141-44

This video is provided as supplementary material for courses taught at Howard Community College, and in this video I’m going to talk about augmented matrices with zero, one or an infinite number of solutions. When you’re working with the system… Continue Reading

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Ex: Identify the Solution to a System of Equation Given a Graph, Then Verify

Ex:  Identify the Solution to a System of Equation Given a Graph, Then Verify

– GIVEN THE GRAPH OF THE TWO LINEAR EQUATIONS, WE WANT TO IDENTIFY THE SOLUTION TO THE SYSTEM OF EQUATIONS AND THEN VERIFY THE SOLUTION. SO TO SOLVE A SYSTEM OF EQUATIONS AS WE HAVE HERE, WE WANT TO FIND… Continue Reading

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Ex: Solve a System of Equations Using Substitution – No Solution

Ex:  Solve a System of Equations Using Substitution – No Solution

– WE WANT TO SOLVE THE SYSTEM OF EQUATIONS USING THE SUBSTITUTION METHOD, WHICH AN ALGEBRAIC METHOD FOR SOLVING A SYSTEM OF EQUATIONS. A SOLUTION TO A SYSTEM OF EQUATIONS IS AN ORDERED PAIR OR AN X AND Y VALUE… Continue Reading

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Ex: Solve a System of Equations by Graphing (No Solution)

– WE WANT TO SOLVE THE SYSTEM OF LINEAR EQUATIONS BY GRAPHING. TO SOLVE A SYSTEM OF EQUATIONS, WE WANT TO DETERMINE THE VALUE OF X AND Y THAT SATISFY BOTH OF THE EQUATIONS. TO DO THIS GRAPHICALLY, WE’LL SKETCH… Continue Reading

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Ex: Solve a System of Equations Using Substitution – Infinite Solutions

Ex:  Solve a System of Equations Using Substitution – Infinite Solutions

 – WE WANT TO SOLVE THE SYSTEM OF EQUATIONS USING THE SUBSTITUTION METHOD, WHICH IS AN ALGEBRAIC METHOD FOR SOLVING A SYSTEM OF EQUATIONS. TO SOLVE A SYSTEM OF EQUATIONS WE WANT TO FIND AN ORDERED PAIR OR AN X… Continue Reading

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The Banach–Tarski Paradox

The Banach–Tarski Paradox

Hey, Vsauce. Michael here. There’s a famous way to seemingly create chocolate out of nothing. Maybe you’ve seen it before. This chocolate bar is 4 squares by 8 squares, but if you cut it like this and then like this… Continue Reading

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Linear Equations with No Solutions or Infinite Solutions

Linear Equations with No Solutions or Infinite Solutions

We want to solve the given linear equation. Normally when solving a linear equation in one variable, we expect one solution, but that’s now always the case. Let’s attempt to solve this equation and see what happens. Following the guidelines… Continue Reading

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Ex: System of Equations Using Elimination (Infinite Solutions)

Ex:  System of Equations Using Elimination (Infinite Solutions)

– WE WANT TO SOLVE THE SYSTEM OF LINEAR EQUATIONS USING THE ELIMINATION METHOD, SOMETIMES CALLED THE ADDITION METHOD. TO SOLVE A SYSTEM OF EQUATIONS WE WANT TO FIND THE ORDERED PAIR OR THE X AND Y VALUE THAT SATISFY… Continue Reading