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Naya [18.7K]
3 years ago
14

100-6x=160-10 problem

Mathematics
2 answers:
Elodia [21]3 years ago
7 0
100-6x= 160 -10
⇒ 100 -6x= 150
⇒ -6x= 150 -100
⇒ -6x= 50
⇒ x= 50/(-6)
⇒ x= -25/3
⇒ x= -8 1/3

Final answer: x= -8 1/3.
erica [24]3 years ago
6 0
100-6x=160-10 \\ \\ 100 - 6x = 150 \ / \ simplify \\ \\ -6x = 150 - 100 \ / \ subtract \ 100 \ from \ each \ side \\ \\ -6x = 50 \ / \ simplify \\ \\ x =  -\frac{50}{6} \ / \ divide \ each \ side \ by \ -6 \\ \\ x =  -\frac{25}{3} \\ \\

The final result is x = - 25/3 or x = -8.3333.
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General Formulas and Concepts:
<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

*Note:

When dividing or multiplying both sides of the inequality by a negative, <em>flip</em> the inequality sign.

<u>Step 1: Define</u>

<em>Identify.</em>

4 - 5g > 39

<u>Step 2: Solve for </u><u><em>g</em></u>

  1. [Subtraction Property of Equality] Subtract 4 on both sides:                    -5g > 35
  2. [Division Property of Equality] Divide -5 on both sides:                              g < -7

∴ any number <em>g</em> less than -7 would work as a solution to the inequality.

---

Topic: Algebra I

Unit: Inequalities

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