How do you find x when y= -25 of y varies directly as x and y=-49 when x=6?

1 Answer
Jim G.
Apr 23, 2018

#x=150/49#

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"#

#y=-49" when "x=6#

#y=kxrArrk=y/x=-49/6#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=-(49x)/6)color(white)(2/2)|)))#

#"when "y=-25" then"#

#-(49x)/6=-25larrcolor(blue)"multiply both sides by - 6"#

#rArr49x=150larrcolor(blue)"divide both sides by 49"#

#rArrx=150/49#

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