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Leya [2.2K]
3 years ago
8

The sum of two numbers is 59. The difference between 2 times the first number and 6 times the second is -34. Find the two number

s.
Mathematics
1 answer:
trasher [3.6K]3 years ago
4 0

Answer: x = 40 ; y = 19

Step-by-step explanation:

x + y = 59

2*x - 6*y = -34

x + y = 59

x = 59 - y

2*(59 - y) - 6*y = -34

118 - 2*y - 6*y = -34

- 8*y = -34 - 118

-8*y = -152

y = -152 / -8

y = 19

x = 59 - y

x = 59 - 19

x = 40

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Answer:

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General Formulas and Concepts:
<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)

Slope Formula: \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

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<u>Calculus</u>

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Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the <em>tangent</em> <em>line</em>.

<u>Step 1: Define</u>

<em>Identify.</em>

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  1. [Derivative] Set up [Slope Formula]:                                                           \displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}
  2. Substitute in coordinates:                                                                           \displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}
  3. Evaluate:                                                                                                       \displaystyle f'(-2.4) \approx -14

---

Learn more about derivatives: brainly.com/question/17830594

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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