-5.9, -4.6, -1/4, 1/2, 1.75, 2, 18, 21.
Answer:
x = -7
Step-by-step explanation:
Simplifying
5x + 130 = 8x + 151
Reorder the terms:
130 + 5x = 8x + 151
Reorder the terms:
130 + 5x = 151 + 8x
Solving
130 + 5x = 151 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
130 + 5x + -8x = 151 + 8x + -8x
Combine like terms: 5x + -8x = -3x
130 + -3x = 151 + 8x + -8x
Combine like terms: 8x + -8x = 0
130 + -3x = 151 + 0
130 + -3x = 151
Add '-130' to each side of the equation.
130 + -130 + -3x = 151 + -130
Combine like terms: 130 + -130 = 0
0 + -3x = 151 + -130
-3x = 151 + -130
Combine like terms: 151 + -130 = 21
-3x = 21
Divide each side by '-3'.
x = -7
Simplifying
Answer:
see explanation
Step-by-step explanation:
note that 
= 
× 3 ( when multiplying exponents are added )
Given
← factor out on numerator
= 
= 
= 1
The answer is: [A]: "No solution" .
_______________________________________________
Note: Given:
_______________________________________________
y = 4x + 8 ;
y = 4x + 2 ;
_______________________________________________
Since: "y = y" ;
4x + 8 = 4x + 2 ; which is not true;
______________________________
4x + 8 ≠ 4x + 2 ; since, "8 ≠ 2" ;
Note: Suppose: "4x + 8 = 4x + 2" ;
→ Subtract "4x" from each side of the equation:
4x + 8 − 4x = 4x + 2 − 4x ;
to get:
_________________
" 8 = 2 " ; not true ; since "8 ≠ 2" ;
______________________________
Also, suppose:
_______________________________
4x + 8 = 4x + 2 ;
→ Subtract "2" from BOTH SIDES of the equation;
4x + 8 − 2 = 4x + 2 − 2 ;
to get:
4x + 6 = 4x
(Note: "4x + 0 = 4x" ; but "4x + 6 ≠ 4x") l
But even if we have:
4x + 6 = 4x ;
→ Subtract "4x" from EACH side of the equation:
4x + 6 − 4x = 4x − 4x ;
to get:
6 = 0 ; which is not true; "6 ≠ 0" .
____________________________________
The correct answer is: [A]: "No solution" .
______________________________________
