aramanathasan aramanathasan
  • 16-03-2022
  • Mathematics
contestada

Solve simultaneous Equation
2x+5y=0
3x-4y=23

Respuesta :

georgepahno georgepahno
  • 16-03-2022

Answer:

x = 5, y = -2

Step-by-step explanation:

Multiply the top equation by 4 and the bottom equation by 5:

[tex]8x + 20y = 0[/tex]

[tex]15x - 20y = 115[/tex]

Add these two equations to eliminate y, and then solve for x.

[tex]23x = 115[/tex]

[tex]x = 5[/tex]

Substitute 5 for x in 8x + 20y = 0, and then solve for y:

[tex]8(5) + 20y = 0[/tex]

[tex]40 + 20y = 0[/tex]

[tex]20y = - 40[/tex]

[tex]y = - 2[/tex]

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