Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter the general solution in terms of x, where x is any real number.) 4x-6y=14 -6x+9y=-21?


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Oddman answered
The second equation is -1.5 times the first, so the system is dependent and has an infinite number of solutions. The general solution is found by solving for y.
  -6x + 9y = -21
  9y = 6x - 21    (add 6x)
  y = (6/9)x - (21/9)    (divide by 9)
  y = (2/3)x - 7/3    (reduce fractions)

The general solution is the ordered pair
  (x, 2/3x-7/3)

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