KindaSmartPersonn
KindaSmartPersonn KindaSmartPersonn
  • 07-11-2018
  • Mathematics
contestada

Solve the system of equations.

2x-3y=16
3x+2y=11

A) (15 1/2, 5)

B) (5,-2)

C) (5,4)

D) (-1,-6)

Respuesta :

gmany
gmany gmany
  • 07-11-2018

[tex]\left\{\begin{array}{ccc}2x-3y=16&|\cdot2\\3x+2y=11&|\cdot3\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x-6y=32\\9x+6y=33\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad13x=65\qquad|:13\\.\qquad x=5\\\\\text{put the value of x to the second equation}\\\\3(5)+2y=11\\15+2y=11\qquad|-15\\2y=-4\qquad|:2\\y=-2\\\\Answer:\ B)\ (5,\ -2).[/tex]

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