Is #(6,18)# a solution to #\frac { 2} { 3} x = \frac { 1} { 3} y - 2#?

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Answer 1 · 2017-05-25T00:11:04

See a solution process below:

To determine if #(6, 18)# is a solution for the equation in the problem, substitute:

#color(red)(6)# for #color(red)(x)#

#color(blue)(18)# for #color(blue)(y)#

and calculate each side of the equation to determine if they are equa:

#2/3color(red)(x) = 1/3color(blue)(y) - 2# becomes:

#(2/3 xx color(red)(6)) = (1/3 xx color(blue)(18)) - 2#

#12/3 = 18/3 - 2#

#4 = 6 - 2#

#4 = 4#

Because both sides of the equation are equal #(6, 18)# is a solution for the equation.