Problem

Solve for the specified variable or expression. $…

02:47

Problem 73 Hard Difficulty

Solve for the specified variable or expression.
$$
m=70+t(a+b) \text { for } b
$$

Answer

$$b=\frac{m-70-a t}{t}$$

Related Courses

Precalculus

Algebra

Elementary and Intermediate Algebra

Chapter 2

Equations, Inequalities, and Problem Solving

Section 4

Formulas

Discussion

You must be signed in to discuss.

Top Algebra Educators

Watch More Solved Questions in Chapter 2

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Problem 83

Problem 84

Problem 85

Problem 86

Problem 87

Problem 88

Problem 89

Problem 90

Problem 91

Problem 92

Problem 93

Problem 94

Problem 95

Problem 96

Problem 97

Problem 98

Problem 99

Problem 100

Problem 101

Problem 102

Problem 103

Problem 104

Problem 105

Problem 106

Problem 107

Problem 108

Problem 109

Problem 110

Problem 111

Problem 112

Problem 113

Problem 114

Problem 115

Problem 116

Problem 117

Problem 118

Problem 119

Problem 120

Video Transcript

and this problem, we're given the equation. M equals 70 plus tee times the quantity of a plus B on we're being asked to solve for B meaning we want to isolate be all by itself on either side of the equation. Well, the first thing I know this is we have parentheses, So we're going to distribute the t the both terms in the parentheses, So I'm gonna bring down the M equals I'm gonna bring down the 70. Now, we're gonna multiply both terms in the prophecy by t. Well, tee times, eh? Is equal to 80. Now, you could have also wrote it as ta I personally like toe right. My terms in alphabetical order which weaken d'oh because, remember, multiplication is community ve Next we need to multiply tee times be well that will just equal to Bt and again for the same reason you could have also written TB. Now remember, we're trying to get beat by itself. Well, the first thing I have on the right hand side is I'm adding 70. I need to move that to the other side. Well, how do we do? The opposite of positive 70. Well, that would be to subtract 70. So on the left hand side, we have m minus 70. Well, those are not like terms and therefore cannot be combined. So we'll still have m minus 70. Now, on the right hand side, you first have 70 minus 70. Well, that's just equal to zero. So those terms cancel and nothing happened to 80 or beauty, so we'll still have 80 plus BT Member. We're still trying to get beat by itself. Well, we're adding 82 the term BT, so I need to move that 80 term to the other side. Well, what's the opposite of adding 80? Well, that would be subtracted 80. So I'm gonna minus 80 from both sides of the equation. Now, on the left hand side, we have m minus 70 minus 80 notice. None of those are like terms, and none of them, therefore could be combined. So now I'm gonna write what we have left over on the right. I'm running out of room, so we're gonna have em minus 70 minus 80 now on the right hand side, we first have 80 minus 80. Well, that's just zero. So those terms will cancel out and now we're just left with Bt. Now we're trying to get beat by itself. Will be is now getting multiplied by t. So what's the office of the multiplying by t? Well, that would be to divide by t. So we're gonna divide both sides of our equation by t Well, because we can't divide t evenly in tow. M 70 and 80 term. That's a simplified as possible. So we'll have m minus 70 minus 80 all over tea. Now, on the right hand side, we have t divided by T. But that would equal the one. So those teas cancel and know this we're now just left would be. So what we found is that M minus 70 minus 80 divided by T is equal to be

We have video lessons for 94.35% of the questions in this textbook