The variables x=-5 and y=-1 varies directly. How do you write an equation that relates the variables and find x when y=-5?

1 Answer
Nov 6, 2017

#x=-25#

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=-5" and "y=-1#

#y=kxrArrk=y/x=(-1)/(-5)=1/5#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=1/5x)color(white)(2/2)|)))#

#"when "y=-5#

#-5=1/5xlarrcolor(blue)"multiply both sides by 5"#

#rArrx=-25#