nyaharalkar nyaharalkar
  • 13-07-2020
  • Mathematics
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Solve these equations using elimination not substitution? 8x + 3y = 13 3x + 2y = 11 15 Points!

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mathstudent55
mathstudent55 mathstudent55
  • 13-07-2020

Answer:

x = -1, y = 7

Step-by-step explanation:

8x + 3y = 13

3x + 2y = 11

Multiply the first equation by -2 and the second equation by 3. Then add them.

     -16x - 6y = -26

(+)     9x + 6y = 33

--------------------------

       -7x         = 7

x = -1

Now substitute x = -1 in the first original equation and solve for y.

8x + 3y = 13

8(-1) + 3y = 13

-8 + 3y = 13

3y = 21

y = 7

Answer: x = -1, y = 7

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