Which of the following equations have the same solution? Solve all three equations separately, and explain each step.
I. 3x + 2 = 5x – 6
II. 2x – 2 = 8
III. the quantity of x plus 1, divided by 5 equals the quantity of 2x minus 2, divided by 6
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OpenStudy (carolina4567):
I need a little help :)
OpenStudy (cwrw238):
rearrange the first equation to the same form as the second and see what you get
OpenStudy (carolina4567):
so would it be
3x - 5x = 2 + 6
OpenStudy (invinceble):
have no clue
OpenStudy (anonymous):
@invinceble if you have no clue it is best not to say it
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OpenStudy (carolina4567):
is that correct @cwrw238
OpenStudy (cwrw238):
no
OpenStudy (cwrw238):
subtract 3x from both sides
then add 6 to both sides
OpenStudy (anonymous):
@cwrw238 is right. You need to subract from both sides
OpenStudy (anonymous):
subtract*
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OpenStudy (carolina4567):
Hmm so that would be like 3x + 2 = 5x – 6
-3 -3
Is that ok ?
OpenStudy (cwrw238):
no subtract 3x not 3
OpenStudy (anonymous):
Math can be so confusing sometimes XD
OpenStudy (carolina4567):
Oh
3x + 2 = 5x – 6
-3x -3x
OpenStudy (carolina4567):
yes it can @PaulaLovesSchool13
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OpenStudy (cwrw238):
3x + 2 = 5x - 6
- 3x -3x
2 = 2x - 6
+6 + 6
8 = 2x
what what is x?
OpenStudy (carolina4567):
x = 4
OpenStudy (anonymous):
Good!
OpenStudy (cwrw238):
ok now solve the second equation
OpenStudy (carolina4567):
2x – 2 = 8
+ 2 +2
2x = 10
x = 5
Correct ?
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OpenStudy (cwrw238):
right
OpenStudy (anonymous):
Yes, that should be right. Good job Carolina :)
OpenStudy (carolina4567):
Yay
OpenStudy (anonymous):
XD
OpenStudy (carolina4567):
Ok last one is rlly hard
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OpenStudy (anonymous):
Uh oh...
OpenStudy (anonymous):
That is hard...ugh. Hold one sec
OpenStudy (cwrw238):
with this one you get rid of the fractions first
- one way is to cross multiply