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?
1 answer:
Answer:
-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
+
<u> 9x + 6y = -51</u>
5x = -15
x = -3
find y: 2(-3) + 3y = -18
-6 + 3y = -18
3y = -12
y = -4
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