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sweet [91]
3 years ago
8

Michael wrote the system of equations below, but he accidentally left out the coefficient of x in the first equation.

Mathematics
2 answers:
Art [367]3 years ago
6 0

Your answer would have to be 2

Nookie1986 [14]3 years ago
5 0

The answer is C, 5. This is because equation #2 is 3 times greater than the first equation, found by identifying 3y in the second equation. So 5*3=15.

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2 years ago
What is x if n≠m? Please help!
lorasvet [3.4K]

Answer: x = \frac{mn(q - p)}{n-m}\\\\

================================================

Work Shown:

Part 1

\frac{x-m}{m} + p = \frac{x-n}{n} + q\\\\\frac{x-m}{m} - \frac{x-n}{n} = q - p\\\\\frac{n(x-m)}{mn} - \frac{m(x-n)}{mn} = q - p\\\\\frac{xn-mn}{mn} - \frac{xm-mn}{mn} = q - p\\\\\frac{xn-mn-(xm-mn)}{mn} = q - p\\\\

Part 2

\frac{xn-mn-xm+mn}{mn} = q - p\\\\\frac{xn-xm}{mn} = q - p\\\\\frac{x(n-m)}{mn} = q - p\\\\x(n-m) = mn(q - p)\\\\x = \frac{mn(q - p)}{n-m}  \\\\

-------------------------------

Explanations:

  • There are quite a bit of steps. I decided to break things into two parts.
  • The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.
  • Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.
  • From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).
  • The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero.
  • If the formulas don't properly display, then you might have to refresh the page.
7 0
3 years ago
What the percent of 160 is 56? Use the bar model
kow [346]

Answer:

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Step-by-step explanation:

See attached for visual

  • 160= 8*20
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56 is 35% of 160

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tatyana61 [14]

Answer:gdjdh

Step-by-step explanation:

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PIT_PIT [208]
Distribute:
3x-12=12
Add 12 over
3x=24
divide by 3
x=8
6 0
3 years ago
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