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Natalija [7]
3 years ago
5

Name the property the equation illustrates.

Mathematics
1 answer:
Gnom [1K]3 years ago
7 0
Commutative Property of Multiplication
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Please help!!!! 30 pts
Sedbober [7]

We are given equation:

5/6 x -2 = -2/3 x +1.

Note: when we have fracions in an equation, we always try to get rid fractions by removing denominator parts.

In the given equation we have 6 and 3 in denominator. So, we need to find the common denominator (lowest common denomiantor) of 6 and 3.

The lowest common denomiantor of 6 and 3 is 6.

So, equation is being multiplied by 6 on both sides.

Therefore,

Step 1) Multiply each side by LCD of fractions.

6 ( 5/6 x -2 ) = 6 (-2/3 x +1)

Step 2) Use distributive property to simplify above step, we get

6* 5/6 x = 5x

6 * -2 = -12

6 * -2/3 x = -4x and

6 * 1 = 6.

Therefore, we get

5x - 12 = -4x + 6 on simplifying second step.

Step 3) We use Addition property of Equality in third step.

Because we have -4x on right side, and the reverse operation of subtraction is addition.

5x - 12 = -4x + 6

+4x        +4x    Step 4) Here we just did simplification of above step.

____________________

9x -12  = 6

  +12   +12     Step 5) Again applied Addition property of Equality to get rid -12 from left side.  

_______________

9x  = 18         Step 6) Here we just did simplification of above step.

Step 7) Because 9 is being multiplied with x on left side. To get rid 9 from left side we need to apply reverse operation of multiplication.

Therefore, Division property of equality is used there by dividing 9 on both sides.

9x/9 = 18/9  

Step 8) Again did simplification of above step.

x=2 Final answer.

3 0
2 years ago
Read 2 more answers
Allison is opening up a jewelry business. She spent $56 on supplies. After $77 in sales to customers, what integer represents he
Nuetrik [128]

Answer:

21

Step-by-step explanation:

77 - 56 = 21

8 0
2 years ago
2+3x34 what is the answer in unit form
S_A_V [24]

Answer:

3 x 34 = 102 + 2 = 104 is your answer just do the equation

8 0
3 years ago
A. The perimeter of a rectangle is twice the length plus twice the width. If L represents the length and W represents the​ width
vampirchik [111]
Perimeter P = 2L + 2W

b.  P =  2*1010 + 2*1818 = 2020 + 3636 = 5656 inches

c.  Area A  = WL

d  Area  = 1010*1818 =  1836180 in^2
5 0
3 years ago
Please<br>Help me I don't get this! ​
Vikentia [17]
The 4 in and the 6 in are the same but the difference between the two triangles are 1.5

6:4 = 1.5
So if 12 = 1.5 (?)
The (?) = 8
4 0
2 years ago
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