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Mathematics 13 Online
mikewwe13:

https://static.k12.com/nextgen_media/assets/8090405-NG_AL1_L_01_U09_Quiz_03.png A system of linear equations is graphed. Which ordered pair is the best estimate for the solution to the system? A. (2,−6.5) B. (0,−6.5) C. (2.5,−6.5) D. (−1.5,0)

mikewwe13:

@Vocaloid

Vocaloid:

try to estimate what the x and y coordinate of that point are

mikewwe13:

D.

Vocaloid:

let's do a quick review of how to read a point on a graph

Vocaloid:

|dw:1515604772338:dw|

Vocaloid:

first, we find the x-coordinate by seeing how far to the left or how far to the right the point is

Vocaloid:

|dw:1515604796173:dw|

Vocaloid:

it looks like the point is about ~ 2 units to the right of x = 0 so we say that the x-coordinate is about 2

Vocaloid:

for the y-coordinate, we will see how far down or up it goes compared to y = 0

Vocaloid:

|dw:1515604860301:dw|

Vocaloid:

the point looks like it's about 6.5 units below 0 so we say it has a y-coordinate of about -6.5

Vocaloid:

is anything I said unclear or confusing?

mikewwe13:

oh no totally get you so far

Vocaloid:

so A. (2,−6.5) is the best estimate of the solution = your answer

mikewwe13:

Graph the system of equations on graph paper. {6x + 4y = 24 {2x − 4y = −8 Which statements are true about the solution to the system of equations? Select each correct answer. The ordered pair that is the solution to the system lies in Quadrant I . The ordered pair that is the solution to the system lies in Quadrant IV . The y-coordinate of the solution is 3. The x-coordinate of the solution is 2. The x-coordinate of the solution is 3. The y-coordinate of the solution is −2 .

mikewwe13:

i think we've done this right ?

Vocaloid:

yeah I think we got (2,3) for this one

mikewwe13:

you think ?

mikewwe13:

the first one and those two ?

Vocaloid:

I just double checked the math and yes x = 2 and y = 3 in quadrant I

mikewwe13:

oh ok that's correct

mikewwe13:

Use a graphing tool to solve the system. {13x + 6y = −30 {x − 2y = −4 Which ordered pair is the best estimate for the solution to the system? A. (−2.5,0.25) B. (−2.5,0.75) C. (0.75,−3.25) D. (−1.25,1.75)

Vocaloid:

have you tried graphing this yet?

mikewwe13:

1 attachment
mikewwe13:

i'm very glad you asked me that question and i'm happy to answer it for you

Vocaloid:

good, that graph is correct now try estimating what the x/y coordinates for that would be

Vocaloid:

* for the intersection i mean

mikewwe13:

i solved it and the answer is D

Vocaloid:

please check your math again

mikewwe13:

OK, scratch B and D, it's either A or C so it's A

Vocaloid:

when you have obtained your solution please check if x and y are the correct value by plugging them back into the equation

mikewwe13:

oh ok

Vocaloid:

you cannot just eliminate answers randomly, you have to do the graphing/calculations

mikewwe13:

ok, that's my mistakes it's B i just graphed and it shows B cause the point is on where it shows on the problem

Vocaloid:

good, B is correct

Vocaloid:

I need to get going, might be on later tonight

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