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Radda [10]
3 years ago
15

I want to know what g is

Mathematics
2 answers:
MAVERICK [17]3 years ago
7 0

Answer:

Step-by-step explanation:

2(5-4g) + 3g - 11 = 5(g-3) - 12 - 3g (remove the parantheses)

10 - 8g + 3g - 11 = 5g - 15 - 12 -3g (Calculate and collect like terms)

-1 - 5g = 2g - 27 (move the terms)

-5g -2g = 27 + 1  (collect like terms and calculate)

-7g = -26 (divide both sides)

so G = 26/7

olga_2 [115]3 years ago
4 0

Answer:

G=27/6

Step-by-step explanation:

2(5−4g)+3g−11=5(g−3)−12−3g

(2)(5)+(2)(−4g)+3g+−11=(5)(g)+(5)(−3)+−12+−3g

10+−8g+3g+−11=5g+−15+−12+−3g

(−8g+3g)+(10+−11)=(5g+−3g)+(−15+−12)

−5g+−1=2g+−27

−5g−1=2g−27

Step 2: Subtract 2g from both sides.

−5g−1−2g=2g−27−2g

−7g−1=−27

Step 3: Add 1 to both sides.

−7g−1+1=−27+1

−7g=−26

Step 4: Divide both sides by -7.

-7g/-7=-26/-7

g=26/7

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Answer:

The largest integer value that makes the inequality true is 9.

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:

<u>Step 1: Define</u>

<em>Identify.</em>

1x - 8 < 2x + 1

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

  1. Simplify:                                                                                                            x - 8 < 2x + 1
  2. [Subtraction Property of Equality] Subtract <em>x</em> on both sides:                        -8 < x + 1
  3. [Subtraction Property of Equality] Subtract 1 on both sides:                        -8 < x
  4. Rewrite:                                                                                                           x > -8

∴ we see that any number <em>x greater than -8</em> would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.

---

Topic: Algebra I

7 0
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