My question is solve:1/2d+4=7d-4
d=?

- anonymous

My question is solve:1/2d+4=7d-4
d=?

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- triciaal

|dw:1433186464283:dw|

- triciaal

first verify the question a or b ?

- triciaal

in either case the objective will be to isolate the term with the variable then divide by the coefficient of the variable.

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## More answers

- triciaal

when you have an equation whatever you do to one side also do to the other to maintain the balance

- anonymous

|dw:1433184144410:dw|d is actually attached to the 2

- hockeychick23

1/2d+4=7d-4
Ok so the first step is to move all the variables to one side. So we subtract 1/2d from both sides.
1/2d-1/2d+4= 7d-1/2d-4
do you get that part?

- anonymous

what happens to the 8d?

- hockeychick23

there is no 8d. your problem was: 1/2d+4=7d-4

- anonymous

The equation is actually 1/2d+4=7/8d-4. I forgot to add the 8d when I posted the question.

- hockeychick23

oh ok no problem, so first lets make the variables numbers have the same denominator, so 1/2=4/8. so your equation will then look like this: 4/8d+4=7/8d-4. You get that so far?

- anonymous

yes

- hockeychick23

ok so now we want to move the variables all to the same side so we do:
4/8d-4/8d+4=7/8d-4/8d-4. you get that part?

- anonymous

so it would look like 4=7/8d-4/8d-4.

- hockeychick23

correct :) so now we do 7/8d-4/8d= 3/8d
so now the equation is 4= 3/8d-4
then we add 4 to both sides: 4+4= 3/8d.
you get that part?

- anonymous

yes

- hockeychick23

ok so 8= 3/8d
now we multiply the entire equation by 8/3 because it is the inverse of 3/8.
8/1*8/3=3/8*8/3d
Do you get that part?

- triciaal

I really hope you understand the importance of posting all of the original problem clearly.

- anonymous

triciaal, yes I do. I thought I had but then I saw that I had forgotten to put in the 8d.

- anonymous

hockeychick23, when I multiplied 8/1 times 8/3 I got 21 1/3

- hockeychick23

correct :) d= 21 1/3 is your final answer

- anonymous

thank you :)

- hockeychick23

sure :)

- triciaal

|dw:1433187777149:dw|

- triciaal

wait

- anonymous

where did the 3 come from?

- hockeychick23

your wrong triciaal its 64/3 which is the same thing as 21 1/3

- triciaal

everything fine until 8 = 3/8d

- hockeychick23

they got it right already

- triciaal

|dw:1433188149001:dw|

- anonymous

How would I get the 64/3?

- triciaal

if it were |dw:1433188598528:dw|

- hockeychick23

8/1*8/3 so you multiply 8*8 and 1*3 giving you 64/3

- triciaal

@hockeychick23 your process is correct but that is not what you had above
see the difference with the location of the variable

- triciaal

@vchenoweth22 the process is correct
isolate the terms with the variable simplify
divide by the coefficient (same as multiply by the reciprocal)

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