vineet solved a system of equations by substitution. in his work, he substituted an expression for one of the variables and solv
ed for the value of the other. this resulted in the equation 7 = 9. what can vineet conclude? (a)the solution to the system is (7, 9). (b)the system of equations does not have a solution. (c)the work must be incorrect because it is not possible to get this equation. (d)the system of equations has infinitely many solutions.
2 answers:
Answer:
The correct option is (b) The system of equations does not have a solution.
Step-by-step explanation:
Let us understand this with the help of an example:
Consider the equations:
......(1)
and
......(2)
Now, solve this with the help of substitution method as shown:
The equation (1) can be written as:
x = 1 - y
Substitute x = 1 - y in equation (2).
9(1 - y)+ 9y = 7
9 - 9y + 9y = 7
9 = 7
Which is not true.
There is no mistake in calculation. The both equation are parallel to each other that is why there is no solution for the equation.
Hence, the correct option is (b) The system of equations does not have a solution.
The graph of these two lines is shown as in figure 1.
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Answer:
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Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so
2. A florist can make a grand arrangement in 18 minutes hour, then he can make y arrangements in
hours.
A florist can make a simple arrangement in 10 minutes hour, so he can make x arrangements in
hours.
The florist can work only 40 hours per week, then
3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines and
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is
