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Mathematics 11 Online
smithm29:

Find how many kilometers were traveled by bike.

smithm29:

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Vocaloid:

"biked 70 km more than bused" means that biked = bused + 70 x = y + 70

Vocaloid:

so solve x = y + 70 x + y = 300

smithm29:

so would i do 300=70y?

Vocaloid:

how did you get 70y, it's 70 + y

smithm29:

idek

Vocaloid:

since the first equation is solve for "x" you can replace "x" with "y + 70" whenever x shows up

Vocaloid:

x + y = 300 becomes y + 70 + y = 300 solve for y

smithm29:

y=115?

Vocaloid:

good so if y = 115 and x + y = 300, how much is x?

smithm29:

185?

Vocaloid:

good so 185 is your answer

smithm29:

thx and DANG ur good at math lol

smithm29:

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smithm29:

how many dimes did jenny have

Vocaloid:

0.10d + 0.25q = 7.75 d + q = 40 solve

Vocaloid:

I would use elimination

smithm29:

idk how to do that yet

Vocaloid:

since we want to eliminate q, we can multiply the second equation by 0.25 to match the first

Vocaloid:

0.10d + 0.25q = 7.75 0.25d +0.25q = 10

smithm29:

ok

Vocaloid:

after we subtract we get 0.15d = 2.25

smithm29:

and get d=15?

Vocaloid:

yeah that's your ans

smithm29:

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smithm29:

How many cans of corn does he buy?

Vocaloid:

same thing as before

Vocaloid:

0.80t + 0.40c = 20.80 t + c = 36

Vocaloid:

solve for c

smithm29:

multiply the 2nd one by0.40?

Vocaloid:

actually, since we want to eliminate t, we must multiply by 0.80 to get 0.80t in the second row

smithm29:

oh ok

Vocaloid:

0.80t + 0.40c = 20.80 0.80t + 0.80c = 28.80

Vocaloid:

subtracting gives us 0.40c = 8

Vocaloid:

c = ?

smithm29:

20!

Vocaloid:

good

smithm29:

AYE

smithm29:

so 20 is the answer?

Vocaloid:

yes

smithm29:

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smithm29:

find the width in meters

Vocaloid:

L = W + 4 2L + 2W = 24 solve for W (you can use substitution)

smithm29:

so how would i start this?

Vocaloid:

L = W + 4 means you can replace "L' with "W+4" when it shows up

Vocaloid:

2L + 2W = 24 becomes 2(W+4) + 2W = 24 solve for W

smithm29:

w=4

Vocaloid:

good

smithm29:

thats the answer?

Vocaloid:

yes

smithm29:

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smithm29:

How many people ordered turkey

Vocaloid:

3.75t + 3.50b = 36.25 t + b = 10 solve for t

smithm29:

would we do the elimination for this one?

Vocaloid:

sure since you want to eliminate b, multiply equation 2 by 3.50

smithm29:

ok

Vocaloid:

3.75t + 3.50b = 36.25 3.50t + 3.50b = 35

Vocaloid:

then subtract

Vocaloid:

0.25t = 1.25

smithm29:

so,,, 3.50t+3.50t+35=36.25?

smithm29:

i mean 3.50t+3.75t+10=36.25

smithm29:

?

Vocaloid:

subtract, not add

Vocaloid:

3.75t - 3.50t = 0.25 t 3.50t - 3.50b = 0

smithm29:

ok so... 3.50t-3.75t-10=36.25?

Vocaloid:

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Vocaloid:

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smithm29:

yeah 35... sorry my brain is fried from all this math XD

Vocaloid:

should end up being 0.25t = 1.25

Vocaloid:

making t = 5 = your answer

smithm29:

thx

smithm29:

correct!

smithm29:

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Vocaloid:

since you have - 3y in both equations, subtract first equation - second equation (watch your positive/negative signs)

Vocaloid:

-10x - 6x = ?

smithm29:

-16x

smithm29:

?

Vocaloid:

good -88 - 24 = ?

smithm29:

-112

Vocaloid:

good so -16x = -112 x = ?

smithm29:

7

Vocaloid:

good, so if x = 7 we can substitute back into equation 2 6(7) = 24 - 3y y = ?

smithm29:

-6?

Vocaloid:

good so (7,-6) = your ans

smithm29:

sweet

smithm29:

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Vocaloid:

same thing, just subtract the two equations and find x

smithm29:

the two -8?

Vocaloid:

the entire equations

Vocaloid:

start by subtracting the x's

smithm29:

i got -2.3repeated

Vocaloid:

20x - (- 8x) = ?

smithm29:

28x

Vocaloid:

good 28 - (-56) = ?

smithm29:

84

Vocaloid:

good so if 28x = 84, x = ?

smithm29:

3!

Vocaloid:

good, so now we substitute back into eq. 2

Vocaloid:

-8(3) = -56 - 8y y = ?

smithm29:

-4

smithm29:

so... 3,-4

Vocaloid:

good

smithm29:

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Vocaloid:

same concept, subtract the equations.

smithm29:

23x=50-14y?

Vocaloid:

-16x - 7x = ?

smithm29:

-23 oops i was thinking 23-(-7)

Vocaloid:

wait

Vocaloid:

sorry it should have been -16x - (-7x) = ?

smithm29:

-9

smithm29:

?

Vocaloid:

good, -9x

Vocaloid:

50 - 77 = ?

smithm29:

-27

Vocaloid:

good, so -9x = -27, so x = ?

smithm29:

3

Vocaloid:

good now we re-substitute

Vocaloid:

-7(3) = 77 - 14y y = ?

smithm29:

7

Vocaloid:

good, so (3,7)

smithm29:

so... 3,7

smithm29:

?

Vocaloid:

yes

smithm29:

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Vocaloid:

since you have +12y and - 12y you can add the equations together and solve for x

Vocaloid:

make sure you add everything together

smithm29:

ok ill try

smithm29:

so would it be x=-2.8+1.2y?

Vocaloid:

68 - 28 = ?

smithm29:

40

Vocaloid:

good so 10x = 40, so x = ?

smithm29:

4

smithm29:

and y = 5?

smithm29:

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Vocaloid:

sorry got distracted

Vocaloid:

your previous answer was right

Vocaloid:

for the new question, do the same thing, add the equations together (make sure you are adding the whole numbers together too)

Vocaloid:

you can use @vocaloid to ping me if I'm afk

smithm29:

x=-9?

Vocaloid:

add the x's together

Vocaloid:

16x - 8x = ?

smithm29:

omg i thought u had to subtract :0

smithm29:

its 8

Vocaloid:

8x, good

Vocaloid:

-44 + 28 = ?

smithm29:

oh wait i got that lol

smithm29:

8x=-72 divide by 8 on both sides x=-9

Vocaloid:

it's not -72

Vocaloid:

-44 + 28 = ?

smithm29:

ugh im dying inside

Vocaloid:

do you need to take a break? we've been at this for a while

smithm29:

uh sure ill txt u in about 10-15 mins ok?

Vocaloid:

sure

smithm29:

thx

Vocaloid:

ok so we have: -44 + 28 = ?

smithm29:

-72

Vocaloid:

nope

smithm29:

oh i thought it said -28

Vocaloid:

so if 8x = -16 then x = ?

smithm29:

-2

Vocaloid:

good

Vocaloid:

then we can substitute 8(-2) = 28 + 4y y = ?

smithm29:

11

smithm29:

am i right?

Vocaloid:

should be -11

smithm29:

oh ok i see

Vocaloid:

so you end up with (-2,-11)

smithm29:

yup

Vocaloid:

can we start a new question, this post is getting long

smithm29:

yeah

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