Question

Complete the two- column proof
Given: 11x - 6y = -1; x = 8
Prove: 98/6 = y
11x - 6y = -1; x = 8
88 - 6y = -1
-6y = -89
y = 89/6
89/6 = y
a. Given: b. Symmetric Property of Equality; c. Subtraction Property of Equality; d. Division Property of Equality; e. Reflexive Property of Equality
a. Given; b. Substitution Property; c. Subtraction Property of Equality; d. Division Property of Equality; e. Symmetric Property of Equality
a. Given; b. Substitution Property; c. Subtraction Property of Equality; d. Division Property of Equality; e. Reflexive Property of Equality
cant put it all in h

Answer 1

a. Given; b. Substituion Property; c. Subtraction Property of Equality; d. Addition property of Equality; e. Symmetric Property of Equality

Answer 2

Those are the four options

Answer 3

help me @TheSmartOne

Answer 4

help me @Awolflover1

Answer 5

help me @TheSmartOne

Answer 6

i just dont understand this

Answer 7

This problem is hard to read the way you have it.
I assume that each set of choices is for one line of the problem, right?

Answer 8

yes

Answer 9

Line 1:
11x - 6y = -1; x = 8

Choices for line 1:
a. Given: b. Symmetric Property of Equality; c. Subtraction Property of Equality; d. Division Property of Equality; e. Reflexive Property of Equality

Answer 10

right those are each of the option that are just like that so there are 4 options

Answer 11

Ok, let's look at each line and the choices.
Line 1 is above.

Look at the way the problem was given to you:

Given: 11x - 6y = -1; x = 8
Prove: 98/6 = y

Now compare line 1 of the proof with the problem.
Does it look like any of it?

Answer 12

Yeah there is only one mistake the correct number for Prove is 89 not 98 sorry to confuse you

Answer 13

i dont understand on what your trying to tell me could you explain it to me better sorry i just am totally confused

Answer 14

Ok. Thanks.

Here is the problem as it was given:

Given: 11x - 6y = -1; x = 8
Prove: 89/6 = y

Here is line 1 of the proof:

1. 11x - 6y = -1; x = 8

Does line 1 of the proof look like part of the problem? If so, which part?

Answer 15

yes it does

Answer 16

all of the parts looks the same

Answer 17

The question I asked so far is not a math question.
All you need to do is read the two lines of the given problem, read the first line of the proof and see if there is a similarity.

Answer 18

Line 1 of the proof is

11x - 6y = -1; x = 8

The problem consists of two parts. One line of given, an d one line of prove.
You mean all of it looks the same to you?

Answer 19

yeah for line 1 it had the exact same problem of 11x - 6y = -1; x = 8 like on the given line so yes it looks the same to me. am i wrong?

Answer 20

Here is the problem as it was written:

Given: \(\color{red}{11x - 6y = -1; x = 8}\)
Prove: 89/6 = y

Here is line 1 of the proof:

1. \(\color{red}{11x - 6y = -1; x = 8}\)

The red parts are exactly the same.
The entire 1st line of the proof was just copied from the given info of the problem.

Now look at the options for line 1.

a. Given: b. Symmetric Property of Equality; c. Subtraction Property of Equality; d. Division Property of Equality; e. Reflexive Property of Equality

Answer 21

Can you choose the option that makes sense as to how you can know to write the first line of the proof? Remember that when you first start with a proof, all you know about it is the given information the problem tells you.

Answer 22

so your saying that since it is the same the option i need to look for is the one that goes with both of them

Answer 23

When you are asked to prove something, and the problem gives you some "given" information, you are to accept that info as true. The only way you know that info is true is that the problem gave it to you.

Answer 24

right i understand that part so what would it be?

Answer 25

In this case, the given info the problem gave you is what was written on the first line of the proof.
What reason do we have for writing that line in the proof and knowing it is true? It's that it was given.

Answer 26

Of the options for the first line, we choose a. given.
The first statement of the proof is just writing the given info.

Answer 27

Ok so far?

Answer 28

so far we know that it is given now what do we do?

Answer 29

Now we have the second statement of the proof, and we need to choose from its own options as to what the reason is.

Once we know 11x - 6y = -1 and x = 8, how can we arrive at the second statement,
88 - 6y = -1.
What was done to the first statement to arrive at the second statement?

Answer 30

Notice we had 11x - 6y, and we also knew x = 8.
How did we get 88 - 6y instead of 11x - 6y?

Answer 31

um well it looks like we took the 11 and the 8 out and multiplied 8 times 11 to get 88 and then put down 6y with it is my guess

Answer 32

Your guess is correct.
Since we knew x = 8, we SUBSTITUTED x in 11x to get 11 * 8.
11 * 8 = 88, so we SUBSTITUTED 11x with what 11x is equal to which is 88.

Answer 33

Now look in the choices of line 2, and see if a choice makes sense to you.

Answer 34

Here are the options for line 2:

a. Given;
b. Substitution Property;
c. Subtraction Property of Equality;
d. Division Property of Equality;
e. Symmetric Property of Equality

Answer 35

okay that leaves three options and the choice that makes sense to me is b

Answer 36

Correct.
You substituted x with 8, so the reason for writing statement 2 is the substitution property of equality.

Answer 37

We add that to our proof, and we go on to the next statement.

Answer 38

Now look above at our proof.
What change do you see from statement 2 to statement 3?

Answer 39

Notice that we are solving the equation for y.
In solving for y, we need to isolate y.
We had 88 - 6y, and now we have just -6y.
What was done to the 88?

Answer 40

the -1 is gone and it is in a different solution it has -6y = -89 wihout -1

Answer 41

what was done to the 88 was subtracted i think from the problem

Answer 42

so what next

Answer 43

so whats next @mathstudent55

Answer 44

The 88 was on the left side. It was being added to the -6y.
What operation was done tot he left side to get rid of an addition of 88?
(Hint: what is the opposite operation to addition?)

Answer 45

it was subtracted