Please help me solve for X?

Question

1/3x + 7/9 = -7/6

I don't know where to begin. I can attempt to use you solution as a template. Thanks

Answer 1

1/3x=-7/6-7/9
1/3x=-63/54-42/54
1/3x=-105/54
1/3x=-35/18
x=(-35/18)(3/1)
x=-35/6

Check:
1/3(-35/6)+7/9=-7/6
-35/18+7/9=-7/6
-35/18+14/18=-7/6
-21/18=-7/6
-7/6=-7/6

I hope this helps!

Answer 2

Move the terms not in x to the right side of the equation:

1/3x = -7/6 - 7/9

Put both constants (on the right side of the =) into the same units by finding the least common multiple of the denominators:

1/3x = -21/18 - 14/18

Combine like terms:

1/3x = -35/18

You can now invert both sides, since they are equal (if a = b, then 1/a = 1/b), remembering that the inverse of a fraction is just that fraction upside-down:

1/(1/3x) = 1/(-35/18)
3x = -18/35

and divide both sides by the multilier of x:

3x/3 = (-18/35)/3
x = -6/35

To verify this is the right answer, substitute -6/35 for x in the original equation and ake sure the answer comes out correctly:

1/3x + 7/9 = -7/6
1/3(-6/35) + 7/9 = -7/6 ?
1/(-18/35) + 7/9 = -7/6 ?
-35/18 + 7/9 = -7/6 ?
-35/18 + 14/18 = -21/18?
-21/18 = -21/18 ? *** YES ***

So we have confirmed that we have the correct answer.

Now, all that work is assuming that what you meant was "One-over-(three x), plus seven ninths, equals negative seven sixths."

If what you meant was "One-third x, plus seven ninths, equals negative seven sixths," then it is a bit different but the basic steps are the same:

(1/3)x + 7/9 = -7/6

distribute to get rid of the parenthesis:

x/3 + 7/9 = -7/6

multiply numerator and denominator of the fraction in x by the same amount to put it in the same unit as the other fraction, then combine like terms:

3x/9 + 7/9 = -7/6
(3x+7)/9 = -7/6

Multipliy numerators and denominators of each fraction by the same amount, using appropriate amounts on each side of the equation so as to result in both sides being in the same terms:

[2*(3x+7)] / [2*9] = [3*(-7)] / [3*6]
(6x+14)/18 = -21/18

Multiply both sides by the now-common denominator to eliminate the fraction:

18*[(6x+14)/18] = 18*[-21/18]
6x+14 = -21

Move terms not in x to the right side and combine:

6x = -21 - 14
6x = -35

divide both sides by the multiplier of x:

x = -35/6

and again, go plug that value back into the original equation to make sure it is right (I'll let you do that).

Answer 3

Folk, this should be a piece of cake: one variable, one function.

Multiply with 3 (which simplifies the fractions) and isolate the x.

x+ 7/3= (-7/2)=======> -7/3

x= (-7/2) - 7/3= (-21/6) - 14/6= -35/6 = x

Answer 4

Multiply by 3 to get rid of the fraction. Then you have
X + 21/9 = -21/6. Then subtract 21/9 from each side to get
X = -105/18, or -5 15/18, or -5 5/6.

Answer 5

1/3x+(7/9-7/9)= -7/6-7/9
1/3x= what ever -7/6-7-9 =
and then u take that number and divide it by 1/3 and u will have what x equals

Answer 6

1/3x + 7/9 = -7/6
1/3x = -7/6 –7/9
1/3x = -21/18 – 14/18
1/3x= -35/18
(1/3x)3 = (-35/18)3
x = -105/18
x = -5.8 1/3

Answer 7

x/3 +7/9=-7/6
Now multiply everything by 18 (least common denomiter)
6x+14=-21
Now take 14 from both sides of the equal
6x=-35
now divide by 6 on both side of the equal
x= -35/6 or - 5 5/6

Answer 8

1/3x + 7/9 = -7/6
6(1/3x + 7/9) = -7
2x + 42/9 = -7
2x = -7 - 42/9 = -63/9 - 42/9 = -105/9
x = -105/(9*2) = -105/18 = -35/6

Answer 9

I think the answer would be -5.83 (negative), but not entirely sure. use BEDMASS and remember that fractions mean division and to turn the fraction into a decimal you divide top by the bottom. Hope that helps