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biggz8232
22.06.2019 •
Mathematics
Anumber is equal to twice a smaller number plus 3. the same number is equal to twuce the sum of the smaller number and 1. how many solutions are possible for this situation
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Ответ:
No solution
Step-by-step explanation:
Suppose the number is
so (
).
Now
is equal to twice a smaller number plus 3. Assuming the smaller number as
, we can write it as:
Also, the same number
is equal to twice the sum of smaller number and 1:
Now for both of these equations, we need to find a point which satisfies them.
For example, for equation 1, take
which means
so the solution will be (1, 3).
Substituting the same value of y here in equation 2:
It means that there is no such point which can satisfy both the equations. Hence, there is no solution possible for these two equations.
Ответ:
The system of equations HAS NO SOLUTION.
Step-by-step explanation:
Let be "y" the first number and "x" the smaller number.
Since the first number is equal to twice a smaller number plus 3, then:
Since the same number is equal to twice the sum of the smaller number and 1, then:
We need to remember that the equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
You can observe in the Equation 1 that the slope of this line is 2 and you can notice in the Equation 2 that the slope of that line is also 2. Therefore, the lines are parallel and the system of equations has no solution.
Ответ:
11 cards
Step-by-step explanation:
18+15=33
33/3=11