npulver200327
npulver200327 npulver200327
  • 19-11-2018
  • Mathematics
contestada

Solve the system of equations below.

-3x + 6y = 9

5x + 7y = -49

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llewis2731
llewis2731 llewis2731
  • 19-11-2018
1. x= -3+2y

2. y= -7- 5/7x
Answer Link
slicergiza slicergiza
  • 24-07-2019

Answer:

[tex]x=-7[/tex]

[tex]y=-2[/tex]

Step-by-step explanation:

Given system of equations,

-3x + 6y = 9  ------(1)

5x + 7y = -49 ------(2),

LCM (3, 5) = 15,

5 × equation (1) + 3 × equation (2),

We get,

30y + 21y = 45 - 147

51y = -102

[tex]\implies y=-2[/tex]

From equation (1),

[tex]-3x+6(-2)=9[/tex]

[tex]-3x-12=9[/tex]

[tex]-3x=9+12[/tex]

[tex]-3x=21[/tex]

[tex]x=-7[/tex]

Answer Link

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