Maria solved the equation -5 1/8 n = -9 3/4. Here answer was n = 1 37/41. She is fairly confindent about her answer, but wants to do a quick check of her solution using estimation.

Respuesta :

Answer:

Yes, she is correct.

Step-by-step explanation:

Given equation,

[tex]-5\frac{1}{8}n = -9\frac{3}{4}[/tex]

[tex](-5-\frac{1}{8})n=-9-\frac{3}{4}[/tex]

[tex]\frac{(-40-1)n}{8}=\frac{-36-3}{4}[/tex]

[tex]-\frac{41}{8}n =-\frac{39}{4}[/tex]

[tex]-41\times 4n = -39\times 8[/tex]

[tex]\implies n =\frac{39\times 2}{41}=\frac{78}{41}=1\frac{37}{41}[/tex]

By estimation :

Since, 1/8 = 0.125 ≈ 0, while, 3/4 = 0.75 ≈ 1

⇒ [tex]-5\frac{1}{8}\approx -5[/tex]

And, [tex]-9\frac{3}{4}\approx -10[/tex]

[tex]-5n = -10\implies n =\frac{-10}{-5}=2[/tex]

Since, [tex]1\frac{37}{41}[/tex] is near to 2.

Hence, she is correct.

Answer: -5(2) = -10

Step-by-step explanation:

You wanted a rounded answer so just round the numbers and simplify

Hope this helps!

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