The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. Find the numbers.
1 answer:
Answer:
x = -6
y = 9
Step-by-step explanation:
The sum of two numbers is 3
x + y = 3
twice the larger number is 36 more than three times the smaller number
2y = 3x + 36
Divide both sides by 2
y = 1.5x + 18
substitute for y in the first equation
x + (1.5x + 18) = 3
2.5x = -15
divide both sides by 2.5
x = -6
Substitute for x in the first equation
-6 + y = 3
y = 9
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