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Solve for the indicated variable.$$\text { For } b: A=1 / 2 h(a+b)$$

$$(2 A-a h) / h$$

Algebra

Chapter 0

Reviewing the Basics

Section 1

Solving Linear Equations

Equations and Inequalities

Missouri State University

Campbell University

McMaster University

Harvey Mudd College

Lectures

00:36

Solve for the indicated va…

00:58

00:23

Solve the formula for the …

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00:59

00:47

Solve the equation for the…

01:03

Solve the following formul…

05:34

02:51

Solve each formula for the…

00:52

Solve formula for the spec…

Solve $A=\frac{1}{2} h(b+d…

00:39

01:38

Solve the given formula fo…

All right, so we have to following equation A equals have times, h times, parentheses, a plus b and we're trying to solve for be. So we want to get beat by itself. And now with this one, there's several ways you could solve it. Um, you could start off by distributing the H onto each value and then multiplying by half everything or just taking half age. Want to plant distributing that to everything? Or you could start off by rearranging the equation to make it a little bit easier. We're going to do the rearranging one, because it's much quicker to do, and it's less complicated. So basically, what we wanna do is what you wanna take this half in this age to the left side of the equation. But there were left with just a plus B on the right side. So in order to do this, we have to take the inverse of one of our two, which is just too, and we're going to multiply both sides of the equation by two crime. Now we're gonna be enough with to a equals H. And this is because the have times two is equal to one okay. And we still have the parentheses. Papers be Now we're gonna want to by both sides of the equation by h So we're gonna take aged times a plus B ancient and then something on the outside grand divided by age. And now this could be simplified further down to we have to a better by age. And on the right side. H right about age cancels out because it's just one. So we're left with just the parentheses people's be in reality, we don't need the parentheses, because it's true that it must be now in order to get beat by itself. We just have to subject both sides of the equation by a in order to get rid of it on the right side. And it's a league. Yeah, yeah, he it's been after we subtract both sides by a we're gonna be left with to a by the bright age. And that's a This is equal to be because the A's cancel loud. A minus eight is just zero you don't and our B value is equal to to a divided by age minus B. Let me just re arrange that and just highlighted

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