Solving Linear Equations Part 3
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Lesson Summary:
In Solving Linear Equations Part 3, Mr. Perez guides viewers through three different types of linear equations. The first equation involves clearing out fractions, combining like terms, and isolating the variable to find one solution. The second equation has no solution and results in a contradiction, leading to an empty solution set. The final equation has infinite solutions, resulting in a true statement and a solution set of all real numbers. This lesson provides an opportunity for more practice and understanding of linear equations.
Lesson Description:
More practice solving linear equations.
Created by and copyright of Larry Perez. Funded by the state of California through Saddleback College. More information on videos, resources, and lessons at Algebra2Go.
Questions answered by this video:
- How do you solve linear equations with one variable?
- How do you solve the equation 3/2t - 1/4(t - 1) = -1/6(t + 2)?
- How do you multiply an equation by the least common denominator of all fractions to remove the fractions before solving?
- How do you solve 6t - 3(t - 1) = 5t - 2(t + 2)?
- What happens if you get 3 = -4 or another contradiction when you solve an equation?
- What happens if an equation has no solutions?
- How do you solve the equation q - 3(4 - 2q) = 5q + 2(q - 6)?
- What happens if you get -12 = -12 or another true statement when you solve an equation?
- What happens if an equation has infinitely many solutions?
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Staff Review
This lesson shows you how to solve some even more complicated problems. Make sure you are comfortable with the previous two lessons before you attempt to tackle the problems in this lesson. Fractions are included in this lesson as well as some equations that do not have just one solution but infinitely many solutions or no solutions.
