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sattari [20]
2 years ago
7

If m + n = 7 and 2n - 3m = 6, what is the value of 3n - 2m ?

Mathematics
2 answers:
S_A_V [24]2 years ago
8 0
Since m + n = 7 we know m = 7-n. So now we have 2n - 3(7-n) = 6. From this we get n = -3. So now we know m - 3 = 7 so m = 10. So now we have 3(-3) + 2(10) = ? and this comes out as 11
Veronika [31]2 years ago
7 0
<span>m + n = 7 then m = 7 - n
2n - 3m = 6
</span><span>
substitute </span>m = 7 - n into 2n - 3m = 6
2n - 3m = 6
2n - 3(7 - n) = 6
<span>2n - 21 + 3n = 6
5n - 21 = 6
5n = 27
n = 27/5
n = 5.4

</span><span>m + n = 7
</span><span>m = 7 - n
m = 7 - 5.4
m = 1.6

now you have m = 1.6 and n = 5.4
you can find the value of </span>3n - 2m<span>

</span>3n - 2m
=3(5.4)  - 2(1.6)
= 16.2 - 3.2
= 13
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Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represen
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Expression for the number of tiles Bruce used : <u>5x+2</u>

Expression for the number of tiles Felicia used : <u>5x + 5</u>

<h3>Further Explanation  </h3>

One variable linear equation is an equation that has a variable and the exponent number is one.  

Can be stated in the form:  

\large{\boxed{\bold{ax=b}}

or  

ax + b = c, where a, b, and c are constants, x is a variable  

We complete the introduction for the task

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job.

Felicia also retiled her kitchen. She bought five boxes of tile with the same number of tiles that were in each as Bruce’s boxes. She also ran out of tile. She had to go back to the store and get an extra five tiles to finish the job.

We can translate those in to expression of One variable linear equation (x = number of tiles)

  • Bruce

He bought three boxes ⇒ 3x

He only used two tiles from the last box  ⇒ 2x + 2

Total tiles of Bruce used : 3x+2x+2 = 5x+2

  • Felicia

She bought five boxes  ⇒ 5x

She get an extra five tiles to finish the job. ⇒ 5 tiles

Total tiles of Felicia used : 5x+5

<h3>Learn more</h3>

linear equation

brainly.com/question/13101704

Keywords : an expression, linear equation, tiles, box,Bruce,Felicia

#LearnWithBrainly

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