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Mathematics 17 Online
OpenStudy (anonymous):

Help please :)

OpenStudy (anonymous):

OpenStudy (asnaseer):

1. multiply the first equation by 15 2. then multiply the second equation by 9 3. then add the two equations and you should find that the 'y' terms cancel out so you should be able to solve for x 4. once you have found x, substitute its values into either one of the equations to solve for y

OpenStudy (anonymous):

just 15 and just 9 ? no 1/15 or anything? And doesnt x=1 and y=1 in fraction? like x/5= 1/5? @asnaseer

OpenStudy (asnaseer):

the two equations given are:\[\frac{x}{5}-\frac{y}{15}=4\]\[\frac{x}{3}+\frac{y}{9}=1\]

OpenStudy (asnaseer):

if we multiply the first one by 15 we get:\[3x-y=60\]agreed?

OpenStudy (anonymous):

so x and y are not one

OpenStudy (asnaseer):

x and y are unknown values at this point

OpenStudy (anonymous):

x/5= 15x5?

OpenStudy (asnaseer):

no:\[15(\frac{x}{5}-\frac{y}{15})=15\times4\]therefore:\[15\times\frac{x}{5}-15\times\frac{y}{15}=60\]

OpenStudy (asnaseer):

the 5 below the x now cancels with the 15 next to it leaving 3 and the 15 below the y cancels with the 15 next to it

OpenStudy (anonymous):

ok, now i see

OpenStudy (asnaseer):

now do the same with the second equation except this time multiply both sides by 9 - what do you get?

OpenStudy (anonymous):

3x+1y=9

OpenStudy (asnaseer):

perfect! you can remove the '1' next to 'y' because '1y' is the same as 'y'

OpenStudy (asnaseer):

so now you are left with two simpler equations:\[3x-y=60\]\[3x+y=9\]

OpenStudy (asnaseer):

now add these two equations and what do you get?

OpenStudy (anonymous):

ok, now i can use substitution to solve?

OpenStudy (anonymous):

6x=69

OpenStudy (anonymous):

x=11.5

OpenStudy (asnaseer):

perfect again :) now substitute this value of x into one of the equations to get y

OpenStudy (anonymous):

-25.5?

OpenStudy (anonymous):

not negative. sorry

OpenStudy (anonymous):

wait yes it is lol.

OpenStudy (anonymous):

i did 3(11.5)-y=60

OpenStudy (asnaseer):

lets use this one:\[3x+y=9\]and you found:\[x=11.5\]therefore:\[y=9-3x=9-3*11.5=9-34.5=-25.5\]you are right again!

OpenStudy (anonymous):

Aw yes! I entered on my homework and it correct. Thank you. The fractions are the only part that tricked me. Thanks so much :* :)

OpenStudy (asnaseer):

yw - I'm glad I was able to help you out :)

OpenStudy (anonymous):

me too! :)

OpenStudy (asnaseer):

thx :)

OpenStudy (anonymous):

np :)

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