Solve for the variable 5= 10/t + 3

Question

asked Jun 23, 2023 10.4k views

2 Answers

Becca Petrin · Answer 1 · 2023-06-27T07:07:43+0000

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Solve for the variable 5=10/t+3.

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When solving an equation, we need to make sure that all variables are on the left-hand side, and all numbers are on the right-hand side.

Since we have numbers on both sides, we need to move all numbers to the right:-

$\bold{5=(10)/(t) +3}$

$\bigstar$ Subtract 5 on both sides:-

$\bold{0=(10)/(t) +3-5}$

$\bigstar$ On simplification,

$\bold{0=(10)/(t) -2}$

$\bigstar$ Now, subtract 10/t on both sides:-

$\bold{-(10)/(t) =-2}$

$\bigstar$ On simplification,

$\bold{(10)/(t) =2}$

$\bigstar$ Multiply by t on both sides:-

$\bold{10=2t}$

$\bold{2t=10}$

$\bigstar$ Divide by 2 on both sides:-

$\bold{t=5}$

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