MathematicsThe solution of equations 3x+2y=10 and 4x-2y=4 is

The solution of equations 3x+2y=10 and 4x-2y=4 is


  1. A
    x=-2 and y=2
  2. B
    x=2 and y=-2
  3. C
    x=-2 and y=-2
  4. D
    x=2 and y=2 

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    Solution:

    3x+2y=10 and 4x-2y=4 Comparing with a1x+b1y+c1=0 and a2x+b2y+c2=0, we get
    a1=3, b1=2 and c1=-10
    a2=4, b2=-2 and c2=-4
    By cross-multiplication formula, we have
      xb1c2-b2c1=yc1a2-a1c2=1b2a1-a2b1
     x2-4-(-2)(-10)=y-104-(3)(-4)=1-23-(4)(2)
    x-8 - 20=y-40 + 12=1-6 - 8 x-28=y-28=1-14 x=-28-14 and y=-28-14
    x=2 and y=2
    Therefore, 4 is the correct option.
     
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