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cody4976
05.02.2021 •
Mathematics
If a, b, c are real numbers and b different from 0, find the relationships between a, b, c and the numbers q, r and s for which the linear system. post results.
ax+by=c
qx+ry=s
(a) has no solutions.
(b) has infinitely many solutions.
(c) has exactly one solution.
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Ответ:
Answer and Step-by-step explanation:
Given
ax + by = c
qx + ry = s
(a) the equation has no solutions if a/q = b/r ≠ c/s, when this happens, we say the system of equations has no solution. For example
x + y = 3
x + y = 5
Subtracting first equation from the second we have:
0 = 2 which is impossible.
(b) the equations have infinite solutions if a/q = b/r = c/s, for example
x + y = 2
x + y = 2
Subtracting the first equation from the second we have
0 = 0, since this is always true, then it has infinite solutions.
(c) the equations have unique solutions if a/q ≠ b/r, for example
x + y = 2
x – y = 1
Adding the first and second equation we have
2x = 3, we can get x from here and definitely y, so we have just one solution.
Ответ:
We conclude that will rent be at the end of this year 937.125$.
Step-by-step explanation:
We know that we have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st.
We calculate
now, we get
We conclude that will rent be at the end of this year 937.125$.