Please solve:
a. 1/3 - 5/6 = 1/x
b. t+1/3 - t-1/2 = 1
a.) 1/3 - 5/6 = 1/x
transpose
x= 5/6 - 1/3
x= (simple all you need yo do is
subtract the fractions) or (if you don't know how to solve, use your calculator)
b.) t+1/3-t-1/2=1
( I don't know this one) hehe. is there something wrong in your letter b?
b. t+1/3-t-1/2 = 1
Simplify:
t-t+1/3-1/2 = 1
-1/6 = 1
As that answer does not make sense, t cannot be found from the given equation.
What you did does not work
I will illustrate:
1/10 + 3/20 = 1/4 ----> true !
you then flipped each term:
10 + 20/3 = 4 ---> definitely FALSE
Here is the solution ...
1/3 - 5/6 = 1/x
multiply each term by 6x
2x - 5x = 6
-3x = 6
x = -2
For the second, as Marth noted, there has to be a typo.
I will assume you meant
(t+3)/3 - (t-1)/2 = 1
multiply each term by 6
2(t+1) - 3(t-1) = 6
2t + 2 - 3t + 3 = 6
-t = 1
t = -1
Actually your error is different from the one I pointed out,
from
1/3 - 5/6 = 1/x you went to
x= 5/6 - 1/3
that should have been
1/x = 1/3 - 5/6
then
1/x = 2/6 - 5/6
1/x = -3/6
1/x = -1/2
now flip it
x = -2
oh, sorry for that my mistake. im really sorry. peace ^^
(fog oh)x f(x)=9sqrt2x g(x)=6x h(x)=3x^3
To solve each equation, we'll follow a similar approach. Let's solve them step by step:
a. 1/3 - 5/6 = 1/x
Step 1: Find a common denominator for the fractions on the left-hand side of the equation. The least common denominator (LCD) for 3 and 6 is 6.
1/3 - 5/6 = (2/2)*(1/3) - (1/1)*(5/6) = 2/6 - 5/6
Step 2: Subtract the fractions with the common denominator.
2/6 - 5/6 = (2 - 5)/6 = -3/6
Step 3: Simplify the fraction.
-3/6 = -1/2
Now, we have -1/2 = 1/x.
Step 4: To solve for x, we can take the reciprocal of both sides because a fraction is equal to another fraction only when their reciprocals are equal.
Reciprocal of -1/2 is -2/1, so we have:
x = -2
Therefore, the value of x that satisfies the equation 1/3 - 5/6 = 1/x is x = -2.
b. t + 1/3 - t - 1/2 = 1
Step 1: Combine like terms on both sides.
t - t + 1/3 - 1/2 = 1
On the left-hand side, t and -t cancel each other out, leaving us with:
1/3 - 1/2 = 1
Step 2: Find a common denominator for the fractions on the left-hand side. The least common denominator (LCD) for 3 and 2 is 6.
1/3 - 1/2 = (2/2)*(1/3) - (3/3)*(1/2) = 2/6 - 3/6
Step 3: Subtract the fractions with the common denominator.
2/6 - 3/6 = (2 - 3)/6 = -1/6
Now, we have -1/6 = 1.
Step 4: Multiply both sides by the reciprocal of -1/6, which is -6/1.
(-1/6)*(-6/1) = (1)*(-6/1)
1 = -6
However, we have reached a contradiction. The equation is not satisfied and has no solution.
Therefore, the equation t + 1/3 - t - 1/2 = 1 has no solution.