Mathematics
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OpenStudy (anonymous):
An equation is shown below:
5(2x - 8) + 15 = -15
Write the steps you will use to solve the equation and explain each step.
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OpenStudy (skullpatrol):
Any ideas?
OpenStudy (anonymous):
not really :S
OpenStudy (anonymous):
first we have to do whats in the parenthesis
OpenStudy (anonymous):
right?
OpenStudy (skullpatrol):
How about subtracting 15 from both sides first, then divide both sides by 5?
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OpenStudy (anonymous):
ok give me a sec
OpenStudy (anonymous):
so it would be -30 right? on one side
OpenStudy (skullpatrol):
Yup.
OpenStudy (anonymous):
divided by 5 = -6
OpenStudy (skullpatrol):
Yup
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OpenStudy (anonymous):
so now its (2x - 8) = -6
OpenStudy (anonymous):
?
OpenStudy (skullpatrol):
Correct
OpenStudy (anonymous):
so what do we do now
OpenStudy (skullpatrol):
Remove the parentheses
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OpenStudy (anonymous):
ok so 2x - 8 = -6
OpenStudy (skullpatrol):
Correct
OpenStudy (anonymous):
next... lol
OpenStudy (skullpatrol):
What is your goal?
OpenStudy (anonymous):
solve the equation
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OpenStudy (skullpatrol):
Isolate x means get x alone on one side of the equation, right?
OpenStudy (anonymous):
i guess yeah
OpenStudy (anonymous):
yes
OpenStudy (skullpatrol):
Any ideas? Recall what we did earlier :-)
OpenStudy (anonymous):
add 8?
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OpenStudy (anonymous):
it would = 2
OpenStudy (skullpatrol):
Yes, to both sides
OpenStudy (anonymous):
so then it would be 2x = 2
OpenStudy (skullpatrol):
Yup
OpenStudy (anonymous):
so then?
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OpenStudy (skullpatrol):
What value of x will make 2x = 2 a true statement?
OpenStudy (anonymous):
1
OpenStudy (skullpatrol):
Correct, now go back to the original equation and check it.
OpenStudy (anonymous):
so i plug in 1 for x
OpenStudy (skullpatrol):
Yup
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OpenStudy (anonymous):
5(2*1 - 8) + 15 = -15
OpenStudy (anonymous):
how do i check it? idk where to start
OpenStudy (skullpatrol):
Inside the parentheses
OpenStudy (anonymous):
lol
OpenStudy (anonymous):
2 - 8?
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OpenStudy (anonymous):
-6
OpenStudy (skullpatrol):
Yup
OpenStudy (anonymous):
so then is that it or what lol
OpenStudy (skullpatrol):
5(-6) + 15 = ?
OpenStudy (anonymous):
-30 + 15 = -15
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OpenStudy (skullpatrol):
Is -15 = -15 a true statement?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
done? thanks!
OpenStudy (skullpatrol):
You have just proven that x = 1 is the solution :D
OpenStudy (anonymous):
lol thanks
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OpenStudy (skullpatrol):
Thanks for trying to learn.