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Solve for the unknown, and then check your solution.$$9-5 r=4 r+11$$

$$-2 / 9$$

Algebra

Chapter 0

Reviewing the Basics

Section 1

Solving Linear Equations

Equations and Inequalities

Missouri State University

McMaster University

Harvey Mudd College

Lectures

00:57

Solve each equation, and c…

00:52

Solve each equation and ch…

00:24

Solve equation, and check …

00:42

00:43

01:27

Solve the equations.$$…

01:04

00:36

Solve and check the answer…

01:31

In the following exercises…

01:37

Solve each equation.$$…

01:01

Solve the equation. Check …

this question we have to follow in the equation. Nine minus five r equals for our plus 11. And there it's a linear question because both expressions are equal to each other and it's leader because our is raised to the power of one. So we're gonna try itself where are ever gonna use the fact that addition and subtraction under each other and multiplication and division under each other? So first thing we have to do is simplify it, but it's already simplified, so we just have to rearrange it in order to get the R values on one side of the equation. So we're gonna choose to move them to the right side to make it a bit easier. So we're gonna do this by taking the minus five are and moving it to the side. And in order to do that, we have to get rid of. The five are on the side of the equation. So how do we get rid of it? We add, we had five are in order to undo it, so we're gonna have nine minus five are class r equals for our plus 11, and we're gonna do the same thing on the side of the equation, plus the bar. Mhm. So this is gonna be nine minus five r plus five are the That's equal to zero nine equals for our plus five are it's +99 are Does he love me now? We want to isolate nine are so we're gonna have to move to 11 to deal this side. You were going to do this by subtracting both sides of the equation with minus 11. So we're gonna take nine. Minus 11. It was nine R plus 11 minus 11. Now we're gonna have on our left site nine minutes 11. That's negative, too. Equals nine are 11 minus 11. That's equal to zero. And now we want to completely isolate Are so we're gonna have to divide both sides of the equation by nine. Because we're here. We have nine times are So we're gonna take nine times are divided by nine again. We'll divide the love side by 92. We only have negative two divided by nine. It to nine times are divided by nine. So nine divided by nine is just one. So we have one times are are simply just r r is equal to negative two, divided by nine. And we can quickly double checking a calculator by plugging in negative two. Divided by nine into the original equation, which was nine. Violence I've are just replaced the negative two divided by nine with our while we're replaced our with negative to the better by nine and then that equal to four times are, which is negative. Two. Divided by nine Lovely. So calculator will just simply take the left side. Nine. Minus five times two divided by nine Well as to be nine minus five times negative. Two. Divided by nine. And that's equal to 10, I think 111 and then a number Right side the same thing four times. Yeah, four times negative two divided by nine plus 11 and same thing will get 10.111 So our is equal to negative to the very by nine

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