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Dahasolnce [82]
3 years ago
9

Seven times the sum of a number,n,and four what will be the expressions ?

Mathematics
2 answers:
harina [27]3 years ago
6 0

First, let's write "the sum of a number and 4" as:


<span>n+4</span>.


Then, "seven times" the sum can be written as:


<span>7<span>(n+4)</span></span>

<span><span>
</span></span>

This "is 6" or "is equal to 6" and can be written as:


<span>7<span>(n+4)</span>=6</span>

<span>
</span>

To solve, first expand the term in parenthesis on the left side of the equation by multiplying each term in the parenthesis by 7


<span><span>(7×n)</span>+<span>(7×4)</span>=6</span>

<span>
</span>

<span>7n+28=6</span>

<span>
</span>

Next, subtract 28 from each side of the equation to isolate the n term while keeping the equation balanced:


<span>7n+28−28=6−28</span>

<span>
</span>

<span>7n+0=−22</span>

<span>
</span>

<span>7n=−22</span>

<span>
</span>

Now, divide each side of the equation by 7 to solve for n while keeping the equation balanced:


<span><span><span>7n</span>7</span>=−<span>227</span></span>

<span><span>
</span></span>

<span><span><span>7n</span>7</span>=−<span>227</span></span>

<span><span>
</span></span>

<span>n=−<span>227</span></span>

<span><span>
</span></span>

The number is <span>−<span><span>227</span></span></span>

pychu [463]3 years ago
5 0
A number, n: n
the sum of a number, n, and 4: n + 4
seven times the sum of a number, n, and 4: 7(n + 4)
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