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irakobra [83]
2 years ago
12

Six times the difference of a number and three is -42 (write and equation and solve)

Mathematics
2 answers:
nadya68 [22]2 years ago
7 0

Hello!

6(3-x)=-42

Use the Distributive Property:

18-6x=-42

-6x=-42-18 (move all the constants (numbers) to the right side, using the opposite operation)

-6x=-60

6x=60

Divide both sides by 6:

x=10

Hope it helps!

If you have any questions, feel free to ask in the comments! (:

~An excited gal

SparklingFlower

WITCHER [35]2 years ago
5 0

Here's ur perfect answer

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

Solve for "y" in terms of "x" ;

  y − x = 25  ;

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

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   y = 25 + x .

Now, since:

  x + y = 47 ;

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

x + (25 + x) = 47  ;

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2x + 25 = 47 ;

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" ;

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Subtract "11" from EACH SIDE of the equation;
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So:  x = 11 , y = 36 ;
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 Let us check our work:

y − x = 25 ;

36 − 11 =? 25 ?  Yes!

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5 0
3 years ago
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