6.9= 1.0 / 6-t
solve for t
can you please write out the steps
The first thing you want to do is get the variable out of the denominator and into a numerator. To do that, multiply each term by (6-t):
6.9(6-t) = (6 - t) * 1.0/(6 - t)
Multiplied out, you get:
41.4 - 6.9t = 1.0 Subtract 41.4 from each side
-6.9t = -40.4 divide each side by -6.9
t = 6
(6-t) * 6.9 = 1 / (6-t) * (6-t) - multiply both sides - cancels out
41.4 - 6.9t = 1 multiply out
-6.9t = -40.4 subtract 41.4 from both sides
t = 5.8551 divide by -6.9
multiply both sides by 6-t
[6-t]6.9=1
41.4-6.9t=1
6.9t=1-41.4 subtrate 41.4 to get t
6.9t=-40.4 divide both sides by 6.9
t=-5.85501
multiply both sides by 6-t to remove the denominator.
then you have
6.9(6 - t) = 1.0
distribute to both terms by 6.9
41.4 - 6.9t = 1.0
then subtract both sides by 41.4
then you get
-6.9t = -40.4
divide both sides
t = 0.145
did that help??
6.9(6 - t) = 1
so, 41.4 - 6.9t = 1
i.e. 40.4 = 6.9t
then t = 40.4/6.9 = 5.86 ( 3 s.f. )
Comments
The first thing you want to do is get the variable out of the denominator and into a numerator. To do that, multiply each term by (6-t):
6.9(6-t) = (6 - t) * 1.0/(6 - t)
Multiplied out, you get:
41.4 - 6.9t = 1.0 Subtract 41.4 from each side
-6.9t = -40.4 divide each side by -6.9
t = 6
(6-t) * 6.9 = 1 / (6-t) * (6-t) - multiply both sides - cancels out
41.4 - 6.9t = 1 multiply out
-6.9t = -40.4 subtract 41.4 from both sides
t = 5.8551 divide by -6.9
multiply both sides by 6-t
[6-t]6.9=1
41.4-6.9t=1
6.9t=1-41.4 subtrate 41.4 to get t
6.9t=-40.4 divide both sides by 6.9
t=-5.85501
multiply both sides by 6-t to remove the denominator.
then you have
6.9(6 - t) = 1.0
distribute to both terms by 6.9
41.4 - 6.9t = 1.0
then subtract both sides by 41.4
then you get
-6.9t = -40.4
divide both sides
t = 0.145
did that help??
6.9(6 - t) = 1
so, 41.4 - 6.9t = 1
i.e. 40.4 = 6.9t
then t = 40.4/6.9 = 5.86 ( 3 s.f. )