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1 year ago

8

When an integer is subtracted from 5 times the next consecutive integer, the difference is 17. Find the value of the greater int

eger.

1 answer:

Mars2501 [29]1 year ago

5 0

Answer:

4

Step-by-step explanation:

5(x + 1) -x = 17 Distribute the 5

5x + 5 - x = 17 Combine like terms

4x + 5 = 17 Subtract 5 from both sides

4x = 12 Divide both sides by 4

x = 3

Three is the smaller integer and 4 is the greater integer.

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Step-by-step explanation:

$\huge\begin{array} {|c|} \hline\left. \begin{cases} { \rm\frac{ 1 }{ 4 } x+ \frac{ 4 }{ 5 } y = 3 } \\ { \rm\frac{ 5 }{ 16 } x- \frac{ 1 }{ 5 } y=5 } \end{cases} \right. \\ \hline \end{array}$

$\\ \Large \overline{ \rm - \: Steps \: using \: substitution \: - }$

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┈

$\rm \frac{5}{16}\left(-\frac{16}{5}y+12\right)-\frac{1}{5}y=5$

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┈

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