Justify Solution Paths of Linear Equations 3(x−2)+5x=26 (What property is this?)
3x−6+5x=26 (What property is this?)
8x−6=26 (What property is this?)
8x=32(What property is this?)
x=4 (What property is this?)

Here are a list of the properties-

Subtraction Property of Equality
Addition Property of Equality
Multiplication Property of Equality
Division Property of Equality
Combine Like Terms
Distributive Property
Given Equation

(Given Equation)

(Distributive Property)

(Combine Like Terms)

(Addition Property of Equality)

(Division Property of Equality)

Step-by-step explanation:

To justify the solution paths of linear equations.

(It is the Given Equation)

Here, 3 has to be multiplied with the term , so the distributive property applies.

Therefore,

Here, the like terms with in it will have to solved by combining them into one.

Therefore,

Here, we add 6 to both sides.

Now, divide the both sides with 8.

Therefore, the answer is:

(Given Equation)

(Distributive Property)

(Combine Like Terms)

(Addition Property of Equality)

(Division Property of Equality)

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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