Question

Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution.

Equation 1
8 - 3x = 5x + 16

Equation 2
9x - 14 = 8x - 15



The solution to equation #1 is larger than the solution to equation #2.

The solution to equation #1 is smaller than the solution to equation #2.

The solution to equation #1 is the same as the solution to equation #2.

None of the statements above describe solutions to equations shown.

Answer 1

your job is so solve both
can you do it?

Answer 2

I think so.

Answer 3

then you can answer the question asked

Answer 4

Okay I need help with the first step on the first problem.

Answer 5

I always get stuck on the first step.

Answer 6

\[8 - 3x = 5x + 16 \] you want all the \(x\)s on one side. lets put them on the right by adding \(3x\) to both sides

Answer 7

you get
\[8-3x+3x=5x+3x+16\] or with practice you go right to
\[8=8x+16\]
then all the \(x\)s are on the right (there are 8 of them) so you want the numbers on the left. subtract \(16\) from both sides

Answer 8

you get
\[8-16=8x\] or
\[-8=8x\] and then your last step is to divide both sides by \(8\)

Answer 9

So it would be 1?

Answer 10

actually it would be \(-1\) because \(-8\div 8=-1\)

Answer 11

Oh.

Answer 12

Okay so now 9x-14=8x-15 .. oh boy

Answer 13

We would add 8x to both sides?

Answer 14

careful here

Answer 15

you have \(8x\) on the right, so to get rid of it you want to subtract \(8x\) from both sides, not add

Answer 16

1x-14=-15?

Answer 17

the reason we added in the first one is because you had \(-3x\) so to get rid of that we added because \(-3x+3x=0\) but this time we want \(8x-8x=0\) so you need to subtract

Answer 18

yes!

Answer 19

now the \(x\) is on the left, you want the numbers on the right

Answer 20

:D whoo. Okay so now.. we add 15 or subtract from both sides?

Answer 21

on the left is \(-14\) so to get rid of that you will ...

Answer 22

Oh I see we are trying to get x by it's self.

Answer 23

hold on make sure the plan is clear. you want the variable on one side, the numbers on the OTHER side

Answer 24

yes, exactly

Answer 25

So we will minus -14 on both sides?

Answer 26

No wait. Add.

Answer 27

then it would be 1x=1

Answer 28

Then divide 1 by one and get 1

Answer 29

yes add that is right
but be careful of the arithmetic

Answer 30

\(-15+14=...\)

Answer 31

Aw darn. so it's -1

Answer 32

right

Answer 33

and the answer is -1

Answer 34

and one more thing, if you want to make sure your teacher thinks you are paying attention, never write \(1x\) just write \(x\)

Answer 35

So our answer would be the 3rd statement both equations are the same.

Answer 36

so you do not have to divide by 1, which is like doing nothing in any case
you get \(x=-1\) not \(1x=-1\) although of course they are the same

Answer 37

yes, the third one
i had to scroll way the hell up to see it so it took me a minute

Answer 38

I see I see (:

Answer 39

lol

Answer 40

you will get this, do not fret