Mathematics
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OpenStudy (anonymous):
Solve each equation and check each solution
(x-3)/5+ (X-2)/2=1/2
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OpenStudy (skullpatrol):
Any ideas?
OpenStudy (skullpatrol):
$$\Huge \frac {x-3}{5} + \frac {x-2}{2}=\frac1{2}$$
OpenStudy (anonymous):
yes that`s the question I asked sir
OpenStudy (skullpatrol):
Recall that when adding or subtracting fractions you rewrite the fractions using their least common denominator.
OpenStudy (anonymous):
yes LCD IS 10
Now I am on this step 2x-15+5x-10=5 than what?
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OpenStudy (skullpatrol):
$$\Huge 2x-6+5x-10=5$$
OpenStudy (skullpatrol):
not -15
OpenStudy (anonymous):
yea that`s where i made mistake let me see if i can handle from there thanks for your time
OpenStudy (skullpatrol):
Thanks for asking and trying to understand.
OpenStudy (anonymous):
no problem no i get stack
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OpenStudy (anonymous):
like terms
OpenStudy (anonymous):
i meant now
OpenStudy (skullpatrol):
yep
OpenStudy (anonymous):
i have 7x-6-10=5
so i ADD 6 on both sides isn`t it
OpenStudy (skullpatrol):
ok
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OpenStudy (anonymous):
so i get 7x-4=11
Add 4 it give me 7x=15
OpenStudy (anonymous):
is that how i was supposed to do
OpenStudy (skullpatrol):
wait...your -10 turned into a -4 for no reason
OpenStudy (anonymous):
ok please show me how you would finish
OpenStudy (anonymous):
2x-6+5x-10=5
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OpenStudy (skullpatrol):
$$\Huge 7x-6-10=5$$ $$\Huge 7x-16=5$$
OpenStudy (anonymous):
how do you get 16 since you have 2x-6+5x-10=5 you are right but please tell me how you get -16
OpenStudy (skullpatrol):
$$\Huge 7x-6-10=5$$ $$\Huge 7x+(-6)+(-10)=5$$ $$\Huge 7x+(-16)=5$$ $$\Huge 7x-16 =5$$
OpenStudy (skullpatrol):
$$\Huge a-b= a+(-b)$$ $$\Huge \text{To subtract b, add the opposite of b}$$
OpenStudy (anonymous):
ok thank so much you really helpful
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OpenStudy (anonymous):
i do appreciate your time
OpenStudy (skullpatrol):
So what is the solution set?
OpenStudy (anonymous):
3 which is what you get sir
OpenStudy (anonymous):
7x-16=5
Add 16 on both sides
7x=21
divide 7x
x=3
OpenStudy (skullpatrol):
Yes, now what number makes the equation x = 3 a true statement?
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OpenStudy (skullpatrol):
What number would you replace x with to make a true statement?
OpenStudy (anonymous):
7(3)-16 =5 is that ok
OpenStudy (skullpatrol):
Sure, also x = 3 is obviously true when x is replaced by 3, this gives 3 = 3, right?
OpenStudy (anonymous):
yes thank you so much
OpenStudy (skullpatrol):
What you did is ok too, since 21-16 =5 and 5 = 5.
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OpenStudy (anonymous):
today was my first day here I really find it helpful
OpenStudy (skullpatrol):
Take the value of 3 and substitute it in the ORIGINAL equation for x, to see if you get a true statement. This is the best way to check for errors :)
OpenStudy (skullpatrol):
Solve each equation and check each solution
OpenStudy (anonymous):
you mean the original where ever i see X put 3
OpenStudy (skullpatrol):
Yes,you are exactly correct.
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OpenStudy (anonymous):
ok let me see if I can do it
OpenStudy (anonymous):
Exactly i get it 5=5
OpenStudy (skullpatrol):
Therefore the solution set is {3}.
OpenStudy (anonymous):
yes sir
OpenStudy (anonymous):
Thank you so much I would let you go I really appreciate spending you precious time
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OpenStudy (anonymous):
so where are you from and where do live now?
OpenStudy (anonymous):
ok sir have a good rest of the day it is late at night here I get to hit the hay