Respuesta :
Answer:
[tex]\huge\boxed{\bf\:-6 = t}[/tex]
Step-by-step explanation:
[tex]-11 = t - 5[/tex]
Bring - 5 to the right hand side of the equation.
[tex]-11 = t - 5\\-11 + 5 = t\\\boxed{\bf\:-6 = t}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Hii student!
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[tex]\ddagger\leadsto\mid\boldsymbol{Answer.}\mid\gets\ddagger[/tex]
The value of t = -6
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[tex]\ddagger\leadsto\mid\boldsymbol{explanation!}\mid\gets\ddagger[/tex]
We have the equation [tex]\sf -11=t-5}[/tex]. And what we need to do is solve for the variable, t.
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To solve for the variable, we should ensure that the variable we need to solve for is all by itself on one side of the equation.
T is not all by itself, [tex]\because[/tex] 5 is subtracted from it.
So what do we do to "remove" that 5 from there? Wouldn't it be great if there was a zero instead of the -5?
We can make that happen by adding 5 to both sides.
We add 5.
[tex]\sf -11=t-5+5}\\-11=t+0}\\-11=t[/tex]
[tex]\bullet[/tex] However, we also need to add 5 to the other side.
[tex]\sf -11+5=t}[/tex]
Simplify!
[tex]\sf -6=t}[/tex]
NOW the variable, t, is all by itself.
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Tip: Why not check your work and make sure there are no mistakes?
We can proof-read, but we can also do this:
- Plug in the solution (t=-6) into the original equation.
[tex]\sf -11=-6-5}[/tex]. Upon simplification, we obtain
[tex]\sf -11=-11[/tex]
Since both sides (the left hand side, l.h.s. and the right hand side, r.h.s. are the same, our solution, t=-6, is correct. Great job!
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Hope that this helped! Best wishes,
[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]
[tex]\boldsymbol{-Greetings!-}[/tex]
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