spazzattack2599
38

# can some one help There are two mystery numbers. The sum of 3 times the first number and 3 times the second number is -15. The sum of 5 times the first number and 2 times the second number is -13. What are the two numbers? The first number is , and the second number is .

x - the first number y - the second number The sum of 3 times the first number and 3 times the second number is -15. $3x+3y=-15 \ \ \ |\div 3 \\ x+y=-5$ The sum of 5 times the first number and 2 times the second number is -13. $5x+2y=-13$ The system of equations: $x+y=-5 \ \ \ |\times (-2) \\ 5x+2y=-13 \\ \\ -2x-2y=10 \\ \underline{5x+2y=-13 \ } \\ 5x-2x=10-13 \\ 3x=-3 \\ x=\frac{-3}{3} \\ x=-1 \\ \\ x+y=-5 \\ -1+y=-5 \\ y=-5+1 \\ y=-4$ The first number is -1 and the second number is -4.