Solve the system by the method of substitution.
Solve system by graphing
3y = –1/2x + 2
y = –x + 9
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OpenStudy (anonymous):
Will give medal
OpenStudy (goldeverything):
for this question do you need a graph
OpenStudy (anonymous):
no
OpenStudy (goldeverything):
ok so you just need help with the answer
OpenStudy (anonymous):
yes plz
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OpenStudy (goldeverything):
what math subject are you doing at the moment
OpenStudy (anonymous):
Algebra 2
OpenStudy (goldeverything):
ok now i know what to do
OpenStudy (goldeverything):
just before i start are there option choices
OpenStudy (goldeverything):
ok nvm so you start of by combining the equation
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OpenStudy (goldeverything):
\[4y = -1/2x+12\]
OpenStudy (anonymous):
o sry u left so i went to grab a bite and yes there are ansew choices
OpenStudy (anonymous):
*answer
OpenStudy (goldeverything):
no worries its fine
OpenStudy (anonymous):
what how did u get the 4y equation
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OpenStudy (goldeverything):
combine 3y and y, y by itself equals 1
OpenStudy (anonymous):
(3, 6)
(20, –4)
(10, –1)
(–1, 8)
OpenStudy (anonymous):
those are the answer choices
OpenStudy (goldeverything):
so nvm don't combine anything
OpenStudy (goldeverything):
solve it one step by a time
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OpenStudy (anonymous):
plug them into the equation
OpenStudy (goldeverything):
\[3y =1/2x +2\]
OpenStudy (goldeverything):
try solving that
OpenStudy (anonymous):
kk
OpenStudy (anonymous):
i cant because 1/2 divided by 3
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OpenStudy (blurbendy):
you know y = -x + 9, so substitute that in for y in the first equation
OpenStudy (anonymous):
substitute what for y
OpenStudy (blurbendy):
the bottom equation tells you y = -x + 9
so put (-x + 9) in wherever you see y in the top equation
OpenStudy (anonymous):
o kk
OpenStudy (blurbendy):
what do you get?
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OpenStudy (anonymous):
-3x-27=-1/2x+2
OpenStudy (blurbendy):
3(-x + 9) =
-3x + 27 = -1/2x + 2
you were close, just flipped the signs in front of the 27
OpenStudy (blurbendy):
so no you can solve for x
OpenStudy (blurbendy):
now*
OpenStudy (anonymous):
so in order for me to solve for x just take the point and put the in
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OpenStudy (anonymous):
sry im still a little confused
OpenStudy (blurbendy):
so now you have
-3x + 27 = -1/2x + 2
and you want to solve for x now
so first get the x's on the left side, and move everything else to the right side
OpenStudy (anonymous):
so i would add 1/2
OpenStudy (blurbendy):
yup, do what's -3 + 1/2 ?
OpenStudy (blurbendy):
so*
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OpenStudy (anonymous):
-2 1/2
OpenStudy (blurbendy):
yes, which is -5/2, so now you have
-5/2x + 27 = 2
you have to get x by itself so subtract 27
OpenStudy (anonymous):
- 27 5/2 = 2 ?
OpenStudy (blurbendy):
-5/2x = -27 + 2
OpenStudy (anonymous):
lol sry
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OpenStudy (blurbendy):
it's okay. what does the equation look like now?
OpenStudy (anonymous):
i put it in decimal form bcz i suck at fractions and i got 29.5
OpenStudy (blurbendy):
-27 + 2 = -25
so you have
-5/2x = -25
OpenStudy (anonymous):
so for me to get x by itself just add 5/2
OpenStudy (blurbendy):
no, you first have to multiply both sides by 2 so you get
-5x = -25 * 2
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OpenStudy (anonymous):
? sry im confused you don't have to keep helping if u dont want to sry
OpenStudy (blurbendy):
when you have a fraction in front of a variable, like -5/2x = -25
you need to get x by itself right?
so you have first mulltiply both sides by 2 to get ride of the 2 on the bottom
so youre left with -5x = -25 * 2
= -50
OpenStudy (blurbendy):
so then you have -5x = -50
but you still have a -5 in front, so you have to divide by -5 now
x = -50 / -5
x = 10
OpenStudy (anonymous):
Thank you sry for taking so much of your time
OpenStudy (blurbendy):
it's okay. youre not done yet though. you have to put x = 10 in to x in the bottom equation and solve for y.
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OpenStudy (anonymous):
o kk
OpenStudy (blurbendy):
what did you get?
OpenStudy (anonymous):
19
OpenStudy (blurbendy):
y = -(10) + 9
y = -10 + 9
y = -1
OpenStudy (anonymous):
o the negative
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