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Mathematics 13 Online
smithm29:

Find the solution of the system of equation. y-x=-13 -4x+3y=-51

Vocaloid:

I would use elimination here I would start by multiplying the first equation by -4 -4y + 4x = 52 -4x+3y=-51

Vocaloid:

then I would add them together

Vocaloid:

4x - 4x = 0 -4y + 3y = 1 y = ?

smithm29:

y=-1?

Vocaloid:

good

Vocaloid:

now, if y = -1 then we can use our first equation to find x (-1)-x=-13

Vocaloid:

x = ?

smithm29:

so would it be (-12,-1)?

Vocaloid:

should be (12,-1)

smithm29:

oh ok i just re-did it and got it when u said that :D

smithm29:

so how would u set up this equation?

1 attachment
Vocaloid:

if there are 3 times as many men as women then: m = 3*w and if there are 48 people then m + w = 48

Vocaloid:

know how to solve this?

smithm29:

umm... would u multiply the first equation by 48?

Vocaloid:

you don't need to

smithm29:

no wait...

Vocaloid:

since it already tells you what m is equal to, you can replace "m" with "3w" whenever shows up

smithm29:

would it be x+15x=48?

Vocaloid:

where are you getting 15 from?

Vocaloid:

where are you getting x from?

Vocaloid:

|dw:1501446920285:dw|

smithm29:

instead of w

Vocaloid:

|dw:1501446935545:dw|

Vocaloid:

|dw:1501446949824:dw|

Vocaloid:

w = ?

smithm29:

m sorry im tired lol

smithm29:

16m=48 m=48/16=3 men = 15(3) = 45 Am I right?

Vocaloid:

after you substitute m = 3w into the equation you shouldn't have m anymore

Vocaloid:

3w + w = 48 w = ?

smithm29:

12?

Vocaloid:

good

Vocaloid:

so if w = 12 and m = 3*w what is m?

smithm29:

36

Vocaloid:

oh wait >_> I read the question wrong :S

Vocaloid:

it should be m = 15w

Vocaloid:

so 15w + w = 48 so w = 3 and m = 45 :S

smithm29:

so it would be 45? or was i still wrong

Vocaloid:

yeah it's 45

smithm29:

oh sweet

smithm29:

are u good at inequalities

smithm29:

are u good at inequalities

Vocaloid:

sure

smithm29:

lol sorry if im asking u a lot i need to get this done and i saved all the stuff idk for the end

Vocaloid:

sure, just post a new question and i'll take a shot at it

smithm29:

ok

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