fill in the blanks 4x^ y2 - 18xy = ............ (2x - 9)
Answers
Step-by-step explanation:
Divde eqation by XY
4/Y +3/X =18
2X-5Y=--4XY
Divide the eqation by XY
2/y--5/X = --4
PUT 1 /X =a and 1/Y =b
So the eqations transform to
4b+3a = 18 (1)
2b —- 5a= -4 (2)
( 2)×2 = 4b --10a =--8
(1) = 4b +3a = 18
Subtracting --13 a = -26
a =26/13 =2
a =2
4b+3×2=18
4b =18-6=12
4b=12
b=12/4 =3
Now a= 2 b= 3
a =1/X
2=1/X
2X=1
X=1/2
b =1/Y
3=1/Y
3Y=1
Y=1/3
The values of X= 1/2 and Y =1/3
Verification
2+1=18×1/6 =3
1--5/3= -4× 1/6
--2/3 = --2/3
Satisfied for X=1/2 and Y =1/3 values
[(x-y) (x+y) + (2x-y) ²] = 3?what is the value of x and y?
If x+yy=4 , what is the value of xx+y ?
If 2x-y/2x+y=3/4, what is x/y?
If 3x+y=5 and 2x-3y=7, then what is the value of x and y?
If x=4/3 and y=3/4, then what is the value of (x+y) /(x-y)?
If 3x+3/x=5, what is the value of 3x^2+3/ (x^ 2)?
I hope that I answer the question that you meant to ask, because I don’t know whether you meant 3x+3x=5 , which is how your question was worded or whether you meant 3x+3x=5 which, if that was your intent, should have been written as (3x+3)/x=5. Likewise, the second expression may be written erroneously (or not).
So, I will begin with the way it was written: If 3x+3x=5 , what is 3x2+3x2 ? Given the first equation, we can clear the fractions by multiplying the equation on both sides by x, then regroup with 0 on the right:
3x2+3=5x
3x2–5x+3=0
[math]x=\frac{5±\sqrt{25–3[/math]
Expect to be wowed.
If the value of x + 1/x = √13 , then what is x^5 - 1/x^5 =?
x+1x=13−−√
(x+1x)2=(13−−√)2
x2+1x2=13−2=11(1)
(x−1x)2=x2+1x2−2=11−2=9
x−1x=±3(2)
(x−1x)3=(±3)3
x3−1x3−3(x−1x)=±27
x3−1x3=±27+(3)(±3)=±36(3)
(x3−1x3)(x2+1x2)=(±36)(11)
x5−1x5+(x−1x)=±396
x5−1x5=±396∓3
x5−1x5=±393
If y=x^2+x , what is the minimum value of y?
Assuming we’re using the real number set, there are a few useful facts that will help us solve this problem:
The minimum value of x2 is 0.
The minimum value of of x is unbounded but will approach −∞
When x>1 , x2 grows quite rapidly and becomes the dominant term. For example when x=2,x2=4 . But when x is small then x dominates, for example: x=14,x2=116
For −1≤x≤1 we get 0≤x2≤1 .
For x<−1 the x2 term will dominate and y=x2+x>0 . So our minimum for y=x2+x is going to be when −1<x<0 .
For this section of the graph, we will have a curve that slop
If (x+y) /I+x-y+4=0, what is the value of x and y?
If 4x=18y,then the value of (x/y)-1 is?
If x+y=5 and 3x+2y=10, what is the value of x and y?
If x-y=4xy² and y=2x, what is the value of x and y?
If x+y=5 and 3x+2y=10, what is the value of x and y?
If 2x+3y+z=55,x+y=4 and y-x+z=12, then what are the value of x, y, and z?
2x +3y+z=55 - - - (i)
x+y=4- - - - (ii)
y-x+z- - - - -(iii)
Adding (i) and (ii),
x+y+y-x+z=4+12
therefore, 2y+z=16- - - -(iv)
Subtracting , (i) and (ii),
2x+3y+z-x-y=55–4
x+2y+z=51
x+16=51
x=51–16=35(from (iv))
Subtracting (ii) and (iii),
x+y-y+x-z=4–12
2x-z=-8
2*35-z=-8 (x=35)
-z=-8–70
therefore z=78
Substituting z=78 in (iv),
2y+78=16
2y=-62
therefore,y=-31
Therefore,
x=35
y=-31
z=78
Hop so this will 8