There are two mystery numbers. The sum of 2 times the first number and 3 times the second number is -18. The sum of 3 times the first number and 2 times the second number is -17. What are the two numbers?

-3 and -4

Step-by-step explanation:

x = 1st number

y = 2nd number

set up system of equations:

2x + 3y = -18

3x + 2y = -17

elimination method:  multiply 1st equation by -2 and second by 3

 -4x - 6y = 36

+

 9x + 6y = -51

  5x = -15

   x = -3

find y:  2(-3) + 3y = -18

           -6 + 3y = -18

            3y = -12

             y = -4

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft