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schepotkina [342]
3 years ago
9

5)Write an algebraic equation for each statement, and then SOLVE for x

Mathematics
1 answer:
Andrei [34K]3 years ago
8 0

Answer:

Step-by-step explanation:

1. x+6=14

  14-6=8

  x=8

2. 15/x=3

   15/3=x

   x=5

3. 7*x=56

   56/7=8

   x=8

4. x^2-4=12

  x=4, x=-4

5. 1/4x=10

  x/4 = 10

  x = 40

6. 3x-9=18

    x=9

7. 1/2x-10=14

   x/2-10=14

   x=48

8.x/8=9

   8*9=72

  x=72

9.2x+3=24

   2x=21

 x=21/2

10.20*x=140

   140/20=7

   x=7

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100 POINTS solve the system using linear combination. show all work.{ 5x + 3y = 41 {3x - 6y = 9
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Answer:

y = 2

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Explanation:

  • 5x + 3y = 41
  • 3x - 6y = 9

<u>Make the coefficient of "y" in equation 1 same</u>

{ 5x + 3y = 41 } * 2     →  10x + 6y = 82  ........equation 1

                                  →  3x - 6y = 9 ........equation 2

<u>solving them using linear combination</u>

  • 10x + 6y = 82
  • 3x - 6y = 9

     ============

  • 13x = 91
  • x = 7

Find y:

  • 5x + 3y = 41
  • 5(7) + 3y = 41
  • 3y = 41 - 35
  • 3y = 6
  • y = 2
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