Solve the system 2x + 2y = -6 and 3x - 2y = 11 by using graph paper or graphing technology. What is the solution to the system?
(-1, -7)
(1, -4)
(2, -1)
(3, -2)
i got d

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- katieb

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- anonymous

- jim_thompson5910

plot each equation on the xy axis system
I'd use something like desmos
https://www.desmos.com/calculator

- jim_thompson5910

the point where the two lines cross is the solution

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## More answers

- anonymous

i got 1,-4

- jim_thompson5910

correct

- jim_thompson5910

don't forget the parenthesis though

- triciaal

to graph a line you need a minimum of 2 points
the easiest to use what is x when y = 0 and what is y then x = 0
to find the solution as stated above find where the lines cross

- anonymous

At the end of May, Janet told Sam that she has read 10 books this year and reads 2 books each month. Sam wants to catch up to Janet. He tracks his book reading with a table on his door. Using his table below, what month will Sam have read the same amount of books as Janet?
Month Books
June 3
July 6
August 9
-November
-December
-January
-March
i got november?

- jim_thompson5910

This is throwing me off
`Janet told Sam that she has read 10 books this year and reads 2 books each month`
if she read 2 books each month, then she actually has read 2*12 = 24 books total for the year. How can they say she only read 10 books in a year?

- UsukiDoll

I had a different approach.. that's why I was hesitant to answer
it said at the end of May she told Same that she read 10 books this year and reads 2 books each month
so it's at the beginning of the year... from January to May .. since the whole year hasn't be completed yet

- jim_thompson5910

oh that could be a possibility

- triciaal

@jim_thompson5910 will 2x-14 = 3x work where x is the month

- UsukiDoll

I'm thinking that since it's at the end of May and we now know that it's 10 book and reads 2 a month
January -2
Febuary 2 and so on until May

- UsukiDoll

omg lack of sleep. It's probably starting at January and then at the end of May it was revealed that she read 10 books so far this year... She reads 2 a month
so she was reading 2 books for 5 months..
January, Feb, March, April May

- UsukiDoll

and he's like ok I'm going to catch up.... let me just start at June but instead of 2 a month, it's 3 a month

- UsukiDoll

so he's like first month 3 books.. makes sense
first month x 3 books
1 x 3 = 3

- UsukiDoll

second month x 3 books
2 x 3
third month x 3 books
3 x 3
and then I'm assuming that he takes a break and restarts in November
now fourth month x 3

- UsukiDoll

So Sam's Chart was
Month Books
June 3
July 6
August 9
then we have November,
so he didn't read for September and October
that could be
Sept 0
Oct 0
November (resumes reading)
or something like that
and I see the multiples of 3 being used too before his break

- triciaal

-14 + 12 =-2 agree November

- jim_thompson5910

@triciaal you're on the right path
it should be 2x + 10 = 3x though
x = number of months since May
eg:
x = 0 represents may
x = 1 represents june
x = 2 represents july
etc

- UsukiDoll

I also got November, but in a different style .

- UsukiDoll

I don't like these problems too much.. worse than Mathematical Induction

- triciaal

@jim_thompson5910 thanks yes that works 2

- jim_thompson5910

The answer isn't Nov

- UsukiDoll

triciaal also got November.. so why is it not November?

- jim_thompson5910

oh wait the equation isn't 2x + 10 = 3x
solve for x to get
2x + 10 = 3x
2x + 10-2x = 3x-2x
10 = x
x = 10
may is the 5th month
10 months from there is 5+10 = 15
the 15th month is really the 3rd month since 15-12 = 3

- jim_thompson5910

the table confirms it

##### 1 Attachment

- triciaal

so it would be March?

- jim_thompson5910

yes

- triciaal

the table confirmed

- triciaal

@UsukiDoll I had it wrong because I did 12 months not from May
5- 2 = 3 the 3rd month March

- UsukiDoll

@triciaal I figured out my mistake . Apparently Sam's Chart blended into the Multiple choices so I assumed that Sam took breaks when in fact he didn't so he did started in June by reading 3 books a month until Sam can catch up with her.
So Sam was the multiple of 3 and she was the multiple of 2. With enough reading, both of them will catch up with each other in March for reading 30 books.

- UsukiDoll

Janet was a multiple of 2 and started reading in January.. so by March she will have 30
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 (1 year and 3 months_
Sam was a multiple of 3 and started in June
0 0 0 0 0 3 6 9 12 15 18 21 24 27 30 (1 year and 3 months) Although he had a late start, adding one more book in his reading list proves to be successful later on.

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