laneshiagilyard laneshiagilyard
  • 23-08-2020
  • Mathematics
contestada

solve the system of equations below
5x+2y=9
2×-3y=15
​

Respuesta :

altavistard
altavistard altavistard
  • 23-08-2020

Answer:

The solution is (3, -3)

Step-by-step explanation:

5x + 2y = 9

2x - 3y = 15

Use elimination by addition/subtraction.  Multiply the first equation by 3 and the second by 2, obtaining:

15x + 6y = 27

4x   - 6y  =  30

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

19x        = 57

This yields x = 3.

Substituting 3 for x into 5x + 2y = 9, we get  5(3) + 2y = 9, or

15 + 2y = 9, or

2y = -6

This yields y = -3.

The solution is (3, -3)

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