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Jet001 [13]
3 years ago
9

WILL UPVOTE

Mathematics
2 answers:
Elden [556K]3 years ago
8 0
<span> 3x-15=4x+36 
3x = 4x + 51
-x = 51
x = -51</span>
aliina [53]3 years ago
6 0
Answer: [B]:  - 51 .
________________________________________
Explanation:
________________________________________
Given: 3x − 15 = 4x + 36 <span>;  Solve for "x" .
________________________________________
Let us subtract: "3x" from EACH side of the equation; AND
           add: "15 to EACH side of the equation: 
__________________________________________
</span> → 3x − 15 − 3x + 15 = 4x + 36 − 3x + 15 ; 
__________________________________________
 to get:
__________________________________________
 → 0 = x + 51 ;
___________________________________
 →  Subtract "51" from EACH side of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
___________________________________
 → 0 − 51 = x + 51 − 51 ;
__________________________
 →    - 51 = x ; ↔ x = - 51 ; which is: "Answer choice: [B]: -51".
___________________________________
→ Now, let us check our answer, "x = -51 ; by plugging in "-51" for "x" in the original equation, and seeing in both sides of the equation hold true when x =  - 51 ;
______________________________
→ Given:  3x − 15 = 4x + 36 ;  
 
    →  Substitute "- 51 for "x" ;

→  Start with the "left-hand side" of the equation: 

→ 3x − 15 = (3*-51) − 15 = -153 − 15 = -168 ; when x = -51 ;

→ Then, let us examine the "right-hand side" of the equation: 
__________________________________________
→ 4x + 36 ;  Substitute "-51" for "x" ; 

    →  (4*-51) + 36 = -204 + 36 = -168

→ Does the "left hand side" of equation = the "right-hand side of the equation" when: x = -51???
______________________________
 → That is, when x = -51, does: - 168 =? -168 ?? Yes!
_________________________
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