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IceJOKER [234]
3 years ago
11

4] Mr. Greenjeans gives each of his horses 5/8 pound of sweet feed each 1/1

Mathematics
1 answer:
Jet001 [13]3 years ago
7 0

Answer:

4] Mr. Greenjeans gives each of his horses 5/8 pound of sweet feed each 1/1

month. If he has 4 horses, how much sweet feed does Mr. Greenjeans

use every month? *

5/8 lb.

2 4/8 lb.

4/32 lb.

3 5/32 lb.

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These are three equations and three answers.


Answers:

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Explanation:


Equation A: 20 - 4x = 12 - x + 8 - 3x

The objective is clearing the unknown, which is to isolate it in one side of the equation.

These are the steps and properties that you need to use:


1.  Combine like terms on right side:

20 - 4x  = 20 - 4x


2. Use addition property of equality (add 4x on each side).

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Conclusion: you have gotten a condition that is always true, no matter the value of x, which means that the equation has infinite solutions and it is an identity.


Equation B: 5x + 4x - 3  =  24 + 8x (note that I placed the equal sign as it was missing)


1.  Combine like terms on each side:

9x - 3 = 24 + 8x


2. Subtraction property and addition propertiy of equality (subtract 8x and add + 3 on both sides)

x = 27 ↔ solution (neither contradiction nor identity)


Conclusion: the solution is x = 27.


Equation C: 5x + 6 = 2x + 6 + 3x - 15 (note that I placed the equal signs as it was missing)


1. Comitne like terms on the right side:

5x + 6 = 5x - 9


2. Subtraction property of equality (subtract 5x from each side)


6 = - 9 ↔ contradiction


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For your information, when the variable (x) dissapears and fhe final equality is always true (for example 0 = 0, or 20 = 20), the equation is an identity.

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