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).
Equation : (7x-4)+(3x-3)+(x) = 180
In the equation the sum of the internal angle in the triangle is 180 degrees. Use this equation to figure the sum of angle in any quadrilateral 180*(number of sides-2)
Solve the equation
Put all similar variable on one side
7x+3x+x-4-3=180
11x-7=180
11x=180+7
11x=187
x = 187/11
x = 17
Now find the angles by plugging in x
Angle F (7*17-4) = 115 degrees
Angle G (x) = 17 degrees
Angle E (3*17-3) = 48 degrees
If you add 115+48+17 you will get a sum of 180 this shows your answer is right
Angle F = 115
Angle G = 17
Angle E = 48
(if 2 is a square)
6xy ( x2 - xy + y2)
= 6x3y - 6x2y2 - 6xy3 --------------the threes and twos on this line are squares and cubics. the six is just a whole number
Answer:
Step-by-step explanation:
<u>Given</u>
- Daily charge = $68.80
- Charge per mile = $0.08
- Target distance = 325 miles
- Money limit = $370
<u>Required inequality:</u>
<u>Solving for d:</u>
- 68.8d + 26 ≤ 370
- 68.8d ≤ 344
- d ≤ 344/68.8
- d ≤ 5
Up to 5 days is the answer
