If y=-5 when x=3, how do you find x when y=-3 given that y varies inversely as x?
1 Answer
Aug 6, 2017
Explanation:
#"the initial statement is "yprop1/x#
#"to convert to an equation multiply by k the constant of"#
#"variation"#
#rArry=kxx1/x=k/x#
#"to find k use the given condition"#
#y=-5" when "x=3#
#y=k/xrArrk=yx=-5xx3=-15#
#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=-15/x)color(white)(2/2)|)))#
#"when "y=-3#
#x=-15/y=-15/(-3)=5#
