Question

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

Answer 1

`\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=(6a)/(12)+(6)/(12)\\\\\boxed{b=(1)/(2)a+(1)/(2)}`