Question

Solve each equation. Check your solution.

10. 3(g-3)=6

12. 5(2c+7)=80

14. 3(a-3)=2(a+4)

16. 4(x-2)=3(1.5+x)

Answer 1

I'll show you how to do the first one then you can try the next one :o)

3(g-3)=6
3g-9=6
+9 +9

3g=15
/3 /3

g=5

Can you do the next one? :o)

Answer 2

Yeah, I'm gonna write that one down real quick. If I don't get the second one can you help me out? :)

Answer 3

Of course! :o)

Answer 4

Ok, thank you! One minute

Answer 5

5(2c+7)=80

10c+35=80

Answer 6

I don't know if I subtract 35 or subtract 80

Answer 7

Awesome job!!! And you're going to subtract 35 from both sides so that you can isolate c. :o)

Answer 8

10c+35=80
-35 -35
10c=45
/10

c=4.5

Answer 9

Perfect, spot on! Try the next one, you can do it. :o)

Answer 10

Ok thank you! :D The assignment is 10-30 even and then a few more after that, can I tell you them when I'm done and have you check them?

Answer 11

Of course :o) I know you're gonna do great!

Answer 12

You're so nice! Thank you! I needed help really bad and nobody would help but I'm glad you are!

Answer 13

14. 3(a-3)=2(a+4)
3a-9=2a+8

Answer 14

Do I subtract from 3a or 2a

Answer 15

If you ever need help you can post a question and tag me or you can message it to me, I'll always help the best I can :o)

Perfect again! Let's see, I don't think it matters which way you do it. But it'd probably be easier if you did:
3a-9=2a+8
-2a -2a

Answer 16

Ok then it would be 1a-9=8
-8 -8

Answer 17

Then it would be 1a=-17
and then divide by 1?

Answer 18

Remember 1a can be represented as just a :o)

So a=-17 :o)

Answer 19

However, if you did divide by 1 you'd still get a=-17 :o)

Answer 20

Ohh, so it's a=-17?

Answer 21

Nope. Lets go back a few steps. Can you see where you went wrong with this step?
1a-9=8
-8 -8

Answer 22

Would it be just 9-8? Cause I think I took -9-8

Answer 23

Well, if you subtract 8 we wouldn't have anything left on the other side. So instead of subtracting 8, we're actually going to add 9 to both sides like this:

1a-9=8
+9 +9

Answer 24

Ohhhh. This so confusing ):

Answer 25

a=17?

Answer 26

Hang in there! Remember when you're doing this, you're always going to take from the side with the variable. You're trying to get the variable on the side of the equation alone. So, you're taking the numbers from that side to get a alone.

Bingo! :o)

Answer 27

Yay :D

Answer 28

4(x-2)=3(1.5+x)
4x-8=4.5+3x
+8 +8

Answer 29

Right?

Answer 30

You have 4x-8=4.5+3x correct, but do you notice how there is an x on both sides? Remember we're trying to get the x's on one side of the equal sign, not both. Keeping this in mind, what do you think you're first step will be?

Answer 31

Oh yeahh! I knew that. It would be -4x from both sides?

Answer 32

Well, you have +4x and +3x, do you think it'd be easier to do +4x-3x or +3x-4x? :o)

Answer 33

-3x?

Answer 34

Right! You could think of it like, would you rather do 4-3 or 3-4? So,

4x-8=4.5+3x
-3x -3x

Answer 35

then it would be 1x-8=4.5
+8 +8

Answer 36

You got it! Awesome! So whats the answer?

Answer 37

x=12.5

Answer 38

:D

Answer 39

Awesome work, so proud of you!! :o)

Answer 40

Thank you!

Answer 41

If you have anymore questions or get stuck when doing them lemme know and I'll help :o)

Answer 42

Ok :D Thank you! I'm gonna start on the next one :)

Answer 43

2(3.5n+6)=2.5n-2
7n+12=2.5n-2
-2.5n -2.5n
----------------
4.5n+12=-2

Answer 44

Perfect, keep going :o)

Answer 45

n=-3.1

Answer 46

You got it!

Answer 47

Omg :D

Answer 48

4(f+3)+5=17+4f
4f+12+5=17+4f
-4f -4f
------------------
0f+12+5=17

Answer 49

This looks like a strange one! Well, it looks like you did it correct though. :o) So, you can see that f=0 already because of the 0 in front of f. If there are 0 f's, you really have no f's at all. So, there really is no point in solving it farther. :o)

Answer 50

Oh, my teacher said something about "Many Solutions" and "No Solution"

Answer 51

You can check it to by plugging 0 in for f:
4f+12+5=17+4f
4(0)+12+5=17+4(0)
0+12+5=17+0
17=17✓

It's probably "No Solution" then. :o)

Answer 52

Thank you!

Answer 53

You can check all your other answers to by plugging in your answer into the original equation like I just showed you. If they equal each other, it's correct. If they don't, then your answer is wrong. Anytime! :o)

Got anymore? :o)

Answer 54

Yeah :)

Answer 55

Sorry. I hope I'm not bothering yu ):

Answer 56

You're not, don't worry about it! If you're not sure or want me to check it, just post it. :o)

Answer 57

8y-3=5(y-1)+3y
8y-3=5y-5+3y
-5y -5y
---------------
3y-3=-5+3y

Answer 58

Right? so far?

Answer 59

Well, notice the 5y and 3y on the same side? You can add these like terms together and then put them on the other side.

8y-3=5y-5+3y
8y-3=8y-5

Looks like the same thing as the last problem.

Answer 60

However, how you did it is correct as well, you'd end up with the same thing. :o)

Answer 61

I get it! :D

Answer 62

Great! :D

Answer 63

-8y from both sides? then 0-3=-5

Answer 64

Yes ma'am :o)

Answer 65

Then what would I do next? Sorry my brain stopped working. xD

Answer 66

Well, just like the other one with f, we can already see that y=0 and there is no solution. :o)

Answer 67

Ohh ok!

Answer 68

1/2(2n-5)=4n-1

Answer 69

Okay, so 1/2 = .5. So 2*.5 ( the same as half) is 1. -5*.5= -2.5

n-2.5=4n-1

Answer 70

then -4n on both sides
-------------
-3-2.5=-1

Answer 71

Nope, we will take n from the lest side:

-2.5=3n-1

Answer 72

Ohh!

Answer 73

You hanging in there? :o) You're doing great!

Answer 74

Yeah I'm trying :)

Answer 75

then add 2.5?

Answer 76

Close, we're going to add 1. Is it confusing you cause its on the opposite side? Is this better?:

3n-1=-2.5

Answer 77

Yeah but i have it wrote down like -2.5=3n-1

Answer 78

n=-0.5

Answer 79

Hey, can you help me with 2 more and then the rest tomorrow?

Answer 80

Sure :o) And yup, n=-0.5, great job! :o)

Answer 81

Ok :)

Answer 82

8y-3=5(y-1)+3y

Answer 83

No solution

Answer 84

Fantastic! :o)

Answer 85

-3(4b-10)=1/2(-24b+60)

Answer 86

Noo solution

Answer 87

Muy bien! Correcto! :o)

Answer 88

omg :D

Answer 89

The next one I need help on

Answer 90

Alright, let's see it :o)

Answer 91

d/0.4=2d+1.24

Answer 92

\[\frac{ d }{ 0.4 }=2d+1.24\]Okay, do you know how to cancel the d when its dividing? :o)

Answer 93

no

Answer 94

Alright, well when we were doing it before, you notice how we were subtracting if the number was adding? We're going to do the same thing here. What's the opposite of dividing?

Answer 95

multiplying!

Answer 96

Bingo! So, we're going to multiply d on both sides. Can you do it? :o)

Answer 97

Wait, so I divide 0.4?

Answer 98

?