Question

Sa se rezolve sistemul:
/2|x|-3|y|=4
{
\|x|+2|y|=5

Answer 1

2|x|-3|y| = 4

|x|+2|y| = 5 |•(-2)

2|x|-3|y| = 4

-2|x|-4|y| = -10

---------------------- (+)

/ -7|y| = -6 = 7|y| = 6 => |y| = 6/7 =>

=> y = ±6/7

2|x|-3•6/7 = 4

2|x|-18/7 = 4

2|x| = 4+18/7

2|x| = 46/7

=> |x| = 46/14 => x = ±46/14

=> (x,y) ∈ {±46/14, ±6/7}