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Sergeeva-Olga [200]
3 years ago
15

Solve: 6x + 10 = 4x -8. Determine how many solutions? (exactly one, infinitely many, no solution)

Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0
  • Answer:

<em>x = - 9</em>

  • Step-by-step explanation:

<em>6x + 10 = 4x - 8</em>

<em>6x - 4x = - 10 - 8</em>

<em>2x = - 18</em>

<em>x = - 18 : 2</em>

<em>x = - 9</em>

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y = mx + b

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While the point-slope equation of a line is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It's the slope

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Therefore, its slope is:

m = \frac {2-4} {0-8} = \frac {-2} {- 8} = \frac {1} {4}

Its point-slope equation is:

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y-4 = \frac {1} {4} x- \frac {8} {4}\\y-4 = \frac {1} {4} x-2\\y = \frac {1} {4} x-2 + 4\\y = \frac {1} {4} x + 2

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Answer:

(See explanation below for further details).

Step-by-step explanation:

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Answer:

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