mayagrl1130 mayagrl1130
  • 22-06-2020
  • Mathematics
contestada

Solve the following system:
y = x + 3
3x + y = 19
O (7,4)
O(-4,7)
O (4,7)
O (4.-7)

Respuesta :

altavistard
altavistard altavistard
  • 01-07-2020

Answer:

(4, 7) (third answer choice)

Step-by-step explanation:

In the system

y = x + 3

3x + y = 19

the first equation already gives y in terms of x.  Thus we can substitute x + 3 for y in the second equation:

3x + (x + 3) = 19, which simplifies to:

4x = 16, yielding x = 4.  Substituting 4 for x in the first equation, we get:

y = (4) + 3 = 7.

Thus, the solution is (4, 7) (third answer choice).

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