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:
corollary,postulate,theorem,definition
Answer:
height = 12 cm
Step-by-step explanation:
Parallelogram 1:
Area = base *height = 20 * 15 = 300 sq. cm
Area of parallelogram 2 = area of parallelogram 1
25 * height = 300
height = 300/25
height = 12 cm
Answer:
see below
Step-by-step explanation:
t = 7m
Let m = 6
t = 7*6 = 42
Let m = 8
t = 7*8
t = 56
Answer:
Step-by-step explanation:
1) if according to the condition a₁=3 and r=2/3, then a₁₀ can be calculated as:
a₁₀=a₁*r⁹;
2) according to the rule above:
a₁₀=3*(2/3)⁹=512*3/(6561*3)=512/6561.