# Hey, Y'all. Was wonderin' bout this pesky question that got me a bit stumped. Thank ya for your help.

###### Question:

## Answers

Answer: Choice B) (24,10)---------------------------------------------------------Work Shown:2x - 4y = 82( x ) - 4y = 82( 3y-6 ) - 4y = 8 ... notice x has been replaced with 3y-62(3y)+2(-6) - 4y = 86y-12 - 4y = 82y-12 = 82y-12+12 = 8+12 ... add 12 to both sides2y = 202y/2 = 20/2 ... divide both sides by 2y = 10If y = 10, thenx = 3y-6x = 3*10-6 ... replace y with 10x = 30-6x = 24Put together, the solution is (x,y) = (24,10)which is why the answer is choice BAs a check, we can plug (x,y) = (24,10) into each equationx = 3y-624 = 3*10 - 624 = 30 - 624 = 24 ... true equationand similarly for the second equation as well2x-4y = 82*24 - 4*10 = 848 - 40 = 88 = 8 ... true equationBoth equations are true when (x,y) = (24,10) so the solution is confirmed