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I need help with these two questions:

 

1. The quintuple of a number reduced by seven is equal to three times that number plus eleven. Look for that number.

 

2. The sum of the two numbers is 120, and their difference is 50. Which numbers are they?

 Aug 20, 2016
 #1
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1) 5x - 7 =3x + 7

5x - 3x =7 + 7

2x =14 divide both sides by 2

x = 7

 

2) a + b =120

     a - b =50

a =85, b =35

 Aug 20, 2016
 #2
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1) 5x - 7 = 3x + 11    | - 3x

    2x - 7 =         11    | + 7

    2x      =         18    | : 2

      x      =           9

 

wink

 Aug 20, 2016
 #3
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2)   x + y = 120                    (1)

      x - y  =   50   | + y           (2)

            x =   50 + y

   

   x in (1)

 

      50 + y + y = 120

          50 + 2y = 120   | - 50

                  2y =   70   | : 2

                    y =   35

 

      y in (1)

 

     x + 35 = 120   | - 35

             x =   85

 

laugh

Omi67  Aug 20, 2016

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