MATHEMATICS HIGH SCHOOL

Evaluate 3(a + b + c)2 for a = 2, b = 3, and c = 4.
54
243
729

Answers

Answer 1
Answer: 6(9) is equal to 54 
Answer: 54
Answer 2
Answer: First, do a+b+c.
a+b+c=2+3+4
=9

Then, multiply that answer by 3:
3x9=27

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Solve using substitution


x = y +3
-3x + 3y = 6

Answers

\large\bf{\underline{\underline{\mathfrak{Question}:}}}

Solve using substitution

x = y +3,

-3x + 3y = 6

\large\bf{\underline{\underline{\mathfrak{Solution}:}}}

Giventhat,

{\small{\rm{x=y+3}}}

Equation:

{\small{\rm{-3x + 3y = 6}}}

So,

By substituting the value of xthat is y+3 in the given equation we get,

:{\Longrightarrow{\small{\rm{-3(y+3) + 3y = 6}}}}

:{\Longrightarrow{\small{\rm{-3y-9+ 3y = 6}}}}

:{\Longrightarrow{\small{\rm{\cancel{-3y}-9\cancel{+3y} = 6}}}}

:{\Longrightarrow{\small{\rm{x = 6+9}}}}

:{\Longrightarrow{\small{\rm{x = 15}}}}

{\therefore{\small{\rm{Value\:of\:x = 15}}}}

Now to find the value of Y use the value of x in the givenequation.

:{\Longrightarrow{\small{\rm{-3(15) + 3y = 6}}}}

:{\Longrightarrow{\small{\rm{-45+ 3y = 6}}}}

:{\Longrightarrow{\small{\rm{3y = 6+45}}}}

:{\Longrightarrow{\small{\rm{3y = 51}}}}

:{\Longrightarrow{\small{\rm{y =(51)/(3)}}}}

:{\Longrightarrow{\small{\rm{y =17}}}}

{\therefore{\small{\rm{Value\:of\:y = 17}}}}

Forverification:

:{\Longrightarrow{\small{\rm{-3(15) + 3(17) = 6}}}}

:{\Longrightarrow{\small{\rm{6= 6}}}}

Henceverified!
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