Algebra problem??????

6.9= 1.0 / 6-t

solve for t

can you please write out the steps

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. )

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