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  • 09-12-2020
  • Mathematics
contestada

what is the solution of the system of equations?
y=2/3x+5
7x-3y=15

A. (0,5)
B. (2,19/3)
C.(4,23/3)
D.(6,9)​

Respuesta :

altavistard
altavistard altavistard
  • 09-12-2020

Answer:

(30, 25)

Step-by-step explanation:

Substitute (2/3)x + 5 for y in the second equation:

7x - 3([2/3]x + 5) = 15

Then:

7x - 2x - 15 = 15, or:

5x = 30.  Thus, x = 30, and from the first equation we get:

y = (2/3)(30) + 5 = 20 + 5 = 25

The solution is (30, 25)

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