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).
Answer:
1: x > -5
2: n > 4
3: x > -2
Step-by-step explanation:
Answer:
C. quarts
Step-by-step explanation:
Answer:

Step-by-step explanation:
Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make
flowers in an hour. If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make
flowers in an hour.
The groups decided to work together. They can make
together in an hour and it takes them
hours. Group B took a break for 1 hour and 40 minutes (
hour), then Group B works
hours.
Thus,
