joyceteta16 joyceteta16
  • 18-04-2020
  • Mathematics
contestada

−3y−4x=−11
3y−5x=−61
Solve the system of equations.
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Respuesta :

ItzMikeSS
ItzMikeSS ItzMikeSS
  • 18-04-2020

Answer:

[tex]x = 8\\y=-7[/tex]

Step-by-step explanation:

[tex]-3y-4x=-11\\3y-5x=-61[/tex]

In order to eliminate one of the variables you can add both equations.

[tex]-9x=-72\\x=\frac{-72}{-9} \\x=8[/tex]

Replace in one of the main equations to find y

[tex]3y-5x=-61\\3y-5(8)=-61\\3y-40=-61\\3y=-61+40\\3y=-21\\y=\frac{-21}{3} \\y=-7[/tex]

Replace in one of the main equations to prove that your answers are correct.

[tex]-3y-4x=-11\\-3(-7)-4(8)=-11\\21-32=-11\\-11=-11[/tex]

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