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Nutka1998 [239]
3 years ago
13

Solve the equation for x.

Mathematics
2 answers:
Alenkasestr [34]3 years ago
6 0
We move all terms to the left:

9(2x+15)-(45)=0

We multiply parentheses

18x+135-45=0

We add all the numbers together, and all the variables

18x+90=0

We move all terms containing x to the left, all other terms to the right

18x=-90

x=-90/18

x=-5

(Source: Geteasysolution.com)

(Mark this as the brainliest if it helps!)





Keith_Richards [23]3 years ago
3 0

Answer:

-5

Step-by-step explanation:

  • 9(2x+15)=45
  • 18x+135=45
  • 18x=45-135
  • 18x=-90
  • x=-90/18
  • x=-5
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The sum of two numbers is 47 and the difference is 25 . what are the numbers?
taurus [48]
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 " ;

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  ;

x + 25 + x + 47 ;

2x + 25 = 47 ;

Subtract "25" from each side of the equation:

2x + 25 − 25 = 47 − 25 ;

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Divide EACH SIDE of the equation by "2" ;
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    x = 11 ;
______________________________________________
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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 11 + y − 11 =  47 − 11  ;

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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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36 + 11 =? 47 ? Yes!
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From the picture attached,

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