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Solve each equation, if possible.$$4(y-3)-y=3(y-4)$$
All real numbers
Precalculus
Algebra
Chapter 2
Equations, Inequalities, and Problem Solving
Section 2
More about Solving Equations
Algebra Topics That are Reviewed at the Start of the Semester
Equations and Inequalities
Missouri State University
Campbell University
University of Michigan - Ann Arbor
Idaho State University
Lectures
01:32
In mathematics, the absolu…
01:11
00:38
Solve each equation.$$…
00:14
Solve each equation for $y…
00:43
06:33
Solve each equation. Check…
00:58
Solve each equation..$…
01:08
Solve each equation, if po…
00:49
02:10
02:05
00:37
okay, We want to solve four times. Why? Minus three minus why equals three times why? Minus four. I'm thinking, let's go ahead and start with distribution, and then we'll collect, like, terms, and then we'll be able to solve from there. So let's distribute this four. I have four. Why? And then four times Negative three is negative. 12. Don't forget that. Why is still here? So I don't want to get rid of that. And then I'll distribute on the right three times. Why is three y and three times negative for is negative 12. Now I want to collect, like, terms. So on the left, I have a four y and a negative. Why? Which is three way? And you can see this is another case where both sides are equal to each other, which means it's gonna have a very special solution set. So let me go ahead and move the three. Why? To really show you what's gonna happen. 31 Ministry. Why makes it go away. So I just have negative 12 equals negative. 12. Well, no matter what I would have plugged in for. Why, Since why is gonna be the same throughout the whole equation. This statement would still be true. And when I end with a stupid true statement like this where an interview equals itself, then that means No matter what I plugged in, this problem would have worked. So all real numbers are my solution set to this problem.
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