granolagirltc granolagirltc
  • 23-04-2019
  • Mathematics
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Solve the system of equations. 3x - 2y = 9 x + y = 8 (6, 2) (3, 0) (1, 6) (5, 3)

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 23-04-2019

Answer:

(5,3)

Step-by-step explanation:

The given equations are;

[tex]3x-2y=9...(1)[/tex]

[tex]x+y=8...(2)[/tex]

Multiply equation (2) by 2

[tex]2x+2y=16...(3)[/tex]

Add equation (3) and equation (1)

[tex]3x+2x=9+16[/tex]

5x=25

x=5

Put x=5 into equation (2)

5+y=8

y=8-5=3

Hence the solution is

(5,3)

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