the following statement is true about the system equation given below x - 2y equals - 6 + 4x + y equals 21

x = 25/3 y = - 19/3

Step-by-step explanation:

First, solve for one of the variables:

-6 + 4x + y = 21 - -> 4x + y = 27 - -> y = - 4x + 27

Then plug in y into the original equation to obtain x

x - 2 (-4x + 27) = 21 - -> x + 8x - 54 = 21 - -> 9x = 75 - -> x = 25/3

Then plug this x value in the original equation to obtain y

(25/3) - 2y = - 6 + 4 (25/3) + y - -> 25/3 - 2y = - 6 + 100/3 + y - -> 25/3 - 2y = 82/3 + y - -> - 3y = 57/3 - -> - 3y = 19 - -> y = - 19/3