Respuesta :
Answer:
T=5
Step-by-step explanation:
5 -3 = 10/t
2 =10/t
2t = 10
T = 5
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Solve for the variable 5=10/t+3.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
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:-
[tex]\bold{5=\dfrac{10}{t} +3}[/tex]
[tex]\bigstar[/tex] Subtract 5 on both sides:-
[tex]\bold{0=\dfrac{10}{t} +3-5}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{0=\dfrac{10}{t} -2}[/tex]
[tex]\bigstar[/tex] Now, subtract 10/t on both sides:-
[tex]\bold{-\dfrac{10}{t} =-2}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{\dfrac{10}{t} =2}[/tex]
[tex]\bigstar[/tex] Multiply by t on both sides:-
[tex]\bold{10=2t}[/tex]
[tex]\bold{2t=10}[/tex]
[tex]\bigstar[/tex] Divide by 2 on both sides:-
[tex]\bold{t=5}[/tex]
Good luck with your studies.
[tex]\rule{300}{2}[/tex]