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solve the simultaneous equation
3600x + 1500y = 150000
3960x + 1800y = 171000​

Sagot :

sqdancefan

9514 1404 393

Answer:

  (x, y) = (452.5, -986)

Step-by-step explanation:

Dividing the first equation by 300 gives the standard form equation ...

  12x +5y = 500

Dividing the second equation by 180 gives the standard form equation ...

  22x +10y = 95

Subtracting the second of these equations from twice the first gives ...

  2(12x +5y) -(22x +10y) = 2(500) -(95)

  2x = 905 . . . . . simplify

  x = 452.5 . . . . .divide by 2

The second equation tells us ...

  y = (95 -22x)/10 = (95 -9955)/10 = -9860/10 = -986

The solution is (x, y) = (452.5, -986).

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