Help please :)
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
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
the two equations given are:\[\frac{x}{5}-\frac{y}{15}=4\]\[\frac{x}{3}+\frac{y}{9}=1\]
if we multiply the first one by 15 we get:\[3x-y=60\]agreed?
so x and y are not one
x and y are unknown values at this point
x/5= 15x5?
no:\[15(\frac{x}{5}-\frac{y}{15})=15\times4\]therefore:\[15\times\frac{x}{5}-15\times\frac{y}{15}=60\]
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
ok, now i see
now do the same with the second equation except this time multiply both sides by 9 - what do you get?
3x+1y=9
perfect! you can remove the '1' next to 'y' because '1y' is the same as 'y'
so now you are left with two simpler equations:\[3x-y=60\]\[3x+y=9\]
now add these two equations and what do you get?
ok, now i can use substitution to solve?
6x=69
x=11.5
perfect again :) now substitute this value of x into one of the equations to get y
-25.5?
not negative. sorry
wait yes it is lol.
i did 3(11.5)-y=60
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!
Aw yes! I entered on my homework and it correct. Thank you. The fractions are the only part that tricked me. Thanks so much :* :)
yw - I'm glad I was able to help you out :)
me too! :)
thx :)
np :)
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