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Virty [35]
3 years ago
12

Solve for x. 18x - 12 16x +8 x = [?]

Mathematics
2 answers:
rodikova [14]3 years ago
7 0

Answer: x = 10;

Both the angles are congruent, therefore;

8x - 12 = 6x + 8

=> Now subtract 6x from each side of "="

2x - 12 = 8

=> Add 12 to each side;

2x = 20

=> Lastly divide each side by 2;

<u>x = 10</u>

Hope this helps!

lubasha [3.4K]3 years ago
4 0

Answer:

10

Step-by-step explanation:

From the image provided, it shows that both 8x - 12 would equal 6x + 8 because their angles are the same due to their placement. With that it turns into 8x - 12 = 6x + 8. Then you can simplify to 2x = 20 by adding 12 to both sides, and subtracting 6x. Then 20 divided by 2 to get x by itself equaling 10.

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The sum of two numbers is 47 and the difference is 25 . what are the numbers?
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The numbers are:  36 and 11 .
______________________________________________
Explanation:
______________________________________________
Let us represent the TWO (2) numbers with the variables;
         "x" and "y" .
__________________________________________
     x + y = 47 .

     y − x = 25.
__________________________________________
Since:  " y − x = 25 " ;

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  y − x = 25  ;

Add "x" to each side of the equation:
_____________________________________________
   y − x + x  = 25 + x  ;

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Plug in "(25 + x)" as a substitution for "y"; to solve for "x" :

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Subtract "25" from each side of the equation:

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Divide EACH SIDE of the equation by "2" ;
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______________________________________________
x + y = 47<span> ;

</span>Plug in "11" for "x" into the equation ; to solve for "y" ;

11 + y = 47 ;

Subtract "11" from EACH SIDE of the equation;
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 Let us check our work:

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