You multiply 9 times nine 6 times. ~9*9*9*9*9*9~
Answer:
(x, y) = (1/2, -1)
Step-by-step explanation:
Subtracting twice the first equation from the second gives ...
(2/x +1/y) -2(1/x -5/y) = (3) -2(7)
11/y = -11 . . . . simplify
y = -1 . . . . . . . multiply by y/-11
Using the second equation, we can find x:
2/x +1/-1 = 3
2/x = 4 . . . . . . . add 1
x = 1/2 . . . . . . . multiply by x/4
The solution is (x, y) = (1/2, -1).
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<em>Additional comment</em>
If you clear fractions by multiplying each equation by xy, the problem becomes one of solving simultaneous 2nd-degree equations. It is much easier to consider this a system of linear equations, where the variable is 1/x or 1/y. Solving for the values of those gives you the values of x and y.
A graph of the original equations gives you an extraneous solution of (x, y) = (0, 0) along with the real solution (x, y) = (0.5, -1).
First, the need to determine if the statements are true or false.
1) January is the first month of the year. (This statement is true)
2) December is the last month of the year. (This statement is also true)
With this in mind we can determine that what will illustrate the truth value would be:
T T -> T
In other words, since the first statement is true and the second statement is also true then conjunction of both statements would be true.
Answer:it is approximately 4 dollars and 6 cents
Step-by-step explanation:
Answer: 9m^3 of soil with 50% clay and 2m^3 of soil with 28% clay is required
Step-by-step explanation:
Let x represent the quantity of the soil containing 50% clay that you would use.
Let y represent the quantity of the soil containing 28% clay that you would use.
To build the garden of your dreams you need 11 m^3 of soil.
x + y = 11 - - - - - - - - -1
Since the soil must contain 46% clay, the total amount of clay required is 46/100 × 11 = 5.06 m^3.
you have two types of soil you can combine to achieve this: soil with 50% clay and soil with 28% clay. This means that the quantity of both soils required to achieve 5.06 m^3 will be
0.5x + 0.28y = 5.06 - - - - - - - -2
Substituting x = 11 - y into equation 1, it becomes
0.5(11 - y) + 0.28y = 5.06
5.5 - 0.5y + 0.28y = 5.06
- 0.5y + 0.28y = 5.06 - 5.5
- 0.22y = - 0.44
y = - 0.44/ -0.22 = 2
Substituting y = 2 into x = 11 - y, it becomes
x = 11 - 2 = 9