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luda_lava [24]
3 years ago
9

the sum of two consecutive integers is -49. Write an equation that models this situation and find the values of the two integers

Mathematics
1 answer:
algol [13]3 years ago
7 0
X + x +1 = -49
2x + 1 = -49
2x +1 -1 = -49 -1
2x = -50
x = -25
x + 1 = -24
Check -25 + -24 = -49
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By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

<h3>How to solve an algebraic equation</h3>

In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:

  1. - 10 · x + 1 + 7 · x = 37     Given
  2. (- 10 · x + 7 · x) + 1 = 37   Associative property
  3. -3 · x + 1 = 37     Distributive property/Definition of subtraction
  4. - 3 · x = 36     Compatibility with addition/Definition of subtraction
  5. x = 12     Compatibility with multiplication/a/(-b) = -a/b/Definition of division/Result

By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

To learn more on linear equations: brainly.com/question/2263981

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