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Mathematics 14 Online
OpenStudy (becca9898):

Need help! Equation will be in the responses.

OpenStudy (anonymous):

whats up?

OpenStudy (becca9898):

\[-7x+3 = \frac{ -15 }{ 2 }\]

OpenStudy (becca9898):

I am unsure where to start :/

OpenStudy (anonymous):

are you solving for just x? or simplifying?

OpenStudy (becca9898):

Solving for x

OpenStudy (anonymous):

alright well this is fairly simple.. haha give me a moment?

OpenStudy (becca9898):

Sure! :)

OpenStudy (anonymous):

alright so the first we want to isolate x, right?

OpenStudy (becca9898):

Correct, so would we minus 3/1 ?

OpenStudy (anonymous):

well not 3/1 but just 3

OpenStudy (becca9898):

I just figured the 3/1 because we have to subtract it from the -15/2... Would we have to multiply the 3/1 by 2 to have an equal denominator?

OpenStudy (anonymous):

so you will get -7x=-15/2-3

OpenStudy (anonymous):

and yes that would be another way to do it but either way you will get the same answer if you simplify -15/2-3

OpenStudy (anonymous):

do you see what im trying to say? haha

OpenStudy (becca9898):

So if I do -15/2-3 would it just be 15?

OpenStudy (anonymous):

what is -15/2 ?

OpenStudy (becca9898):

the problem is I cannot use decimals in this equation, they want me to keep fractions. So -15/2 would just be -15/2 because it cannot be simplified.

OpenStudy (anonymous):

alright sorry i didnt know that

OpenStudy (becca9898):

After doing the math -15/2 - 3/1 should come out to -9/2, right?

OpenStudy (anonymous):

a negative - a negative is?

OpenStudy (becca9898):

a positive?

OpenStudy (anonymous):

it is always a negative so -15-6=-21

OpenStudy (anonymous):

god im getting confused haha let me type the entire problem then ill explain it alright?

OpenStudy (becca9898):

OK :)

OpenStudy (anonymous):

-7x+3=-15/2 -7x=-15/2-3/1*2 "to combine these we need the same denominator so we multiply by two" -7x=-15/2-6/2 -7x=-21/2

OpenStudy (anonymous):

okay haha thats as far as i got now this is where you come in... we will simplify with decimals then replace them with fractions...

OpenStudy (anonymous):

-21/2=-10.5 -7x=-10.5

OpenStudy (anonymous):

divide by -7, isolating x

OpenStudy (anonymous):

x=-10.5/-7

OpenStudy (anonymous):

you get 1.5

OpenStudy (anonymous):

1.5= 3/2 so x=3/2

OpenStudy (becca9898):

Thank you!!

OpenStudy (anonymous):

haha is that one of you ranswers?

OpenStudy (anonymous):

no..... thank you, for bearing with me lol

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