How do you solve and check your solutions to #-2/7v=16#?

1 Answer
Aug 21, 2017

Answer:

See a solution process below:

Explanation:

Multiply each side of the equation by #color(red)(7)/color(blue)(-2)# to solve for #v# while keeping the equation balanced:

#color(red)(7)/color(blue)(-2) xx (-2)/7v = color(red)(7)/color(blue)(-2)xx 16#

#cancel(color(red)(7))/cancel(color(blue)(-2)) xx color(blue)(cancel(color(black)(-2)))/color(red)(cancel(color(black)(7)))v = color(red)(7)/(-cancel(color(blue)(2))) xx color(blue)(cancel(color(black)(16)))8#

#v = 56/-1#

#v = -56#

To check the solution, substitute #-56# for #v# in the original equation and ensure the left side of the equation calculates to #16#:

#-2/7v = 16# becomes:

#-2/7 * -56 = 16#

#-2/color(red)(cancel(color(black)(7))) * -8color(red)(cancel(color(black)(56))) = 16#

#-2 * -8 = 16#

#16 = 16#

The answer checks out.