Person7148 Person7148
  • 10-10-2018
  • Mathematics
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If x=-2 and y=6 is a solution of equation 3ax+2by=6, then find the value of b

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gmany
gmany gmany
  • 13-10-2018

[tex]\text{Substitute the values of x and y to the equation}\\\\x=-2,\ y=6,\ 3ax+2by=6\\\\3a(-2)+2b(6)=6\\\\-6a+12b=6\qquad|\text{add 6a to both sides}\\\\12b=6a+6\qquad|\text{divide both sides by 12}\\\\b=\dfrac{6a}{12}+\dfrac{6}{12}\\\\\boxed{b=\dfrac{1}{2}a+\dfrac{1}{2}}[/tex]

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