Mathematics
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OpenStudy (anonymous):
does anyone know how to work this problem out? it says solve this equation by the method of substitution: 2x-4y=-14
-x-6y=-5
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mathslover (mathslover):
\[\Huge{2x-4y=-14}\]
First solve this equation for x
\[\Huge{2x=-14+4y}\]
\[\Huge{x=\frac{-14-4y}{2}}\]
\[\Huge{x=-7-2y}\]
mathslover (mathslover):
now put the value of x that you get in the second equation ... can you do it now ?
OpenStudy (anonymous):
let me try it!
mathslover (mathslover):
ok
OpenStudy (anonymous):
for the x= -7-2y do i divide by -2 to cancel the 2y out?
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mathslover (mathslover):
no why r u cancelling .. let it be there
mathslover (mathslover):
\[\Huge{x-6y=-5}\]
\[\Huge{(-7-2y-6y=-5}\]
mathslover (mathslover):
solve this now
OpenStudy (anonymous):
oh! sorry! im so confused :(
OpenStudy (anonymous):
how do i find out the value of x, so i can plug it in the second equation?
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mathslover (mathslover):
Ok let me start a new solution for you ..
mathslover (mathslover):
just see the first equation
mathslover (mathslover):
Can you solve for x ?
OpenStudy (anonymous):
don't you do
-2x?
mathslover (mathslover):
right subtract 2x from both sides what you get ?
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OpenStudy (anonymous):
-4y= 16?
mathslover (mathslover):
see if you subtract 2x on LHS then you should also on RHS
\[\Huge{2x-2x-4y=-14-2x}\]
\[\Huge{-4y=-14-2x}\]
mathslover (mathslover):
Now solve for x :: can you do it now ?
OpenStudy (anonymous):
i got -4y+2x=-14
OpenStudy (anonymous):
is probably not right
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mathslover (mathslover):
\[\Huge{-4y+14=-2x}\]
OpenStudy (anonymous):
oh ok
mathslover (mathslover):
then divide both sides by (-2)
OpenStudy (anonymous):
i mean i know the answer but i just want someone teach me step by step on how to get that answer
mathslover (mathslover):
did u get this yet..
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OpenStudy (anonymous):
divide both sides which are?
OpenStudy (anonymous):
-2x and -4y?
mathslover (mathslover):
-4y+14 and -2x
mathslover (mathslover):
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