Answer:
x= √2 - 2 + √5-4√2, √2-2 - √5-4 √2
The answer is 7x+7/x^2+3x-10
When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.
Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!
So the integers are -7 and -6.
Answer:
x=10, y=6
Step-by-step explanation:
the send equation minus the first.
(5x+y)-(3x+y)=56-36
2x=20--->x=10
then put x=10 to the first equation, 3*10+y=36, get y=6
There are two such numbers.
One of them is 2 + 9.5 = 11.5.
The other one is 2 - 9.5 = -7.5.
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If we consider "9.5 units from 2" to be 9.5 units in the positive direction, then the appropriate choice is 11.5.
