Graph plotting word problem

Question

Courtney plotted a point (x,y) where the absolute value of x is 2 times the absolute value of y and the x-value is 18 less than the y-value. What point did Courtney plot? Explain

Answer 1

There are 2 equations here:

 

x = y - 18

and

|x| = 2|y|

 

You can graph these and see where they intersect

Answer is

x = -12

y = 6