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Svetllana [295]
3 years ago
15

Given -16 = m over 5 -18; prove m=10

Mathematics
1 answer:
Aleks04 [339]3 years ago
3 0

- 16 =  \frac{m}{5}  - 18 \\  =  >  - 16 =  \frac{m - 18 \times 5}{5}  \\  =  >  -16 \times 5 = m - 90 \\  =  >  - 80 = m - 90 \\  =  >  - 80 + 90 = m \\  =  > 10 = m \\  =  > m = 10
Hence provided
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Answer:

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Step-by-step explanation:

Let the two numbers be x and y

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using the elimination method, add the two equations together:

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solve for x:

x=\frac{99}{4}\\x=24\frac{3}{4}

substitute our value for x back into the first equation we made:

x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}

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