Mathematics
18 Online
OpenStudy (anonymous):
Please help me solve
1- 4(c-3) + 7 = 59
2-5g+4(5+3g) = 2 - g
3- k- 3k = 6k + 5 - 8k
4- -6a + 3 = -3(2a-1)
Thanks
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Theoceangirl (the_ocean_girl):
you need somebody to walk you through all 4 of them?
OpenStudy (anonymous):
yes please
OpenStudy (anonymous):
:)
Theoceangirl (the_ocean_girl):
okay i'll take you through all of them so you understand
OpenStudy (anonymous):
thank you
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Theoceangirl (the_ocean_girl):
no problem. okay do you know the first step for #1?
OpenStudy (anonymous):
divide. Maybe the 4 from each side?
OpenStudy (anonymous):
distribute
Theoceangirl (the_ocean_girl):
distribute it to what's in the parentheses first
Theoceangirl (the_ocean_girl):
then we do the reverse order of operations
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OpenStudy (anonymous):
okay 4(c-3) = 4c - 12 + 7 = 59
Theoceangirl (the_ocean_girl):
now combine like terms
OpenStudy (anonymous):
4c - 12 + 7
Theoceangirl (the_ocean_girl):
-12 and +7 are like terms
combine them
and then add that to 59
OpenStudy (anonymous):
c = 54
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Theoceangirl (the_ocean_girl):
you'll be left with 4c
divide each side by 4 and that's how you get what c equals
OpenStudy (anonymous):
c = 13.5
Theoceangirl (the_ocean_girl):
you should have gotten -5 when you combine like terms
to get rid of the -5 you have to add 5
Theoceangirl (the_ocean_girl):
sorry i should have said that 1st
OpenStudy (anonymous):
okay thats okay
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Theoceangirl (the_ocean_girl):
it'll be 59+5
and then divide by 4
OpenStudy (anonymous):
14.75?
Theoceangirl (the_ocean_girl):
59+5= 64
64/4=16
OpenStudy (anonymous):
yay thank you
Theoceangirl (the_ocean_girl):
no problem! let's move on to #2
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OpenStudy (anonymous):
oky
does #2 equal 37
Theoceangirl (the_ocean_girl):
how did you get to that answer
OpenStudy (anonymous):
5g+4(5 + 3g) = 2 - g
5g + 4(8g) = 2-g
5g+32g = 2 - g
37g = 1g
37 = g
Theoceangirl (the_ocean_girl):
you can't combine 5 and 3g because 5 doesn't have a g
that threw off your math
you were supposed to begin with the distributive property again
OpenStudy (anonymous):
oh okay thanks
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OpenStudy (anonymous):
5g + 20 + 12g = 2 - g
OpenStudy (anonymous):
then do I combine the like terms?
OpenStudy (anonymous):
hello?
Theoceangirl (the_ocean_girl):
sorry i was taking notes for a class
OpenStudy (anonymous):
oh thats cool
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Theoceangirl (the_ocean_girl):
yes you combine like terms now
so 5g+3g
OpenStudy (anonymous):
kay
Theoceangirl (the_ocean_girl):
**5g+12g
OpenStudy (anonymous):
add?
Theoceangirl (the_ocean_girl):
yes add 5g and 12g
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OpenStudy (anonymous):
17g
Theoceangirl (the_ocean_girl):
okay so now you have 20+17g= 2-g
OpenStudy (anonymous):
okay
Do I combine 17g and g or just add regularly?
OpenStudy (anonymous):
thanks Im sorry but I have to go
Theoceangirl (the_ocean_girl):
okay