Jillianborges1214 Jillianborges1214
  • 01-11-2020
  • Mathematics
contestada

6x+3y=24
3x-3y=-6
Solve the system using elimination (explain steps)

Respuesta :

HarleyNguyen
HarleyNguyen HarleyNguyen
  • 01-11-2020

Answer:

(x,y)=(2,4)

Step-by-step explanation:

[tex]\left \{ {{6x+3y=24} \atop {3x-3y=-6}} \right.[/tex]

⇒ 9x=18 divide both sides of the equation by 9

⇒ x=2

then put x=2 into the equation 3x-3y=-6

⇒ 3×2-3y=-6

⇒ 6-3y=-6

⇒ -3y=-6-6

⇒ -3y=-12

⇒ y=4

(x,y)=(2,4)

⇒ [tex]\left \{ {{6*2+3*4=24} \atop {3*2-3*4=-6}} \right.[/tex]

⇒ [tex]\left \{ {{24=24} \atop {-6=-6}} \right.[/tex]

⇒ (x,y)=(2,4)

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