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Vesnalui [34]
3 years ago
15

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

Mathematics
1 answer:
lana66690 [7]3 years ago
7 0

\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}}

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