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).
_____
<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:
<h3>-11</h3>
Step-by-step explanation:
To get the y-intercept, we need to get the slope first
Slope = y2-y1/x2-x1
Slope = -20-1/-3-4
slope = -21/-7
Slope = 3
Get the y-intercept. Substitute m = 3 and any point say (4, 1) into the expression y = mx+c
c is the y-intercept
1 = 3(4) + c
1 = 12 + c
c =1-12
c = -11
Hence the y-intercept is -11
Answer:
4.5453436e+30
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Answer:
x>24
Step-by-step explanation:
−2x+7< −41
−2x+7−7< −41−7
−2x< −48
−2x
/−2 < −48
/−2
x>24