Mathematics
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 .

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(1) Answers
Collegegirl763

x - the first number y - the second number The sum of 3 times the first number and 3 times the second number is -15. [latex]3x+3y=-15 \ \ \ |\div 3 \\ x+y=-5[/latex] The sum of 5 times the first number and 2 times the second number is -13. [latex]5x+2y=-13[/latex] The system of equations: [latex]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[/latex] The first number is -1 and the second number is -4.

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