The variables x=6 and y=3 varies directly. How do you write an equation that relates the variables and find x when y=-5?

1 Answer
Sep 23, 2017

#y=1/2x,-10#

Explanation:

#"the initial statement is "ypropx#

#"to convert to an equation multiply by k the constant"#
#"of variation"#

#rArry=kx#

#"to find k use the given condition"#

#x=6" when "y=3#

#y=kxrArrk=y/x=3/6=1/2#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=1/2x)color(white)(2/2)|)))#

#"when "y=-5#

#1/2x=-5rArrx=-10#