Don't be snarky !
<u>4x - x/4 + x + 1/3 = 2x</u>
Add up the 'x' terms on the left side: (4 + 1/4 + 1)x = 5-1/4 x = 21/4 x
Now the equation is: 21/4 x + 1/3 = 2x
2x is the same as 8/4 x . Subtract it from each side:
13/4x + 1/3 = 0
Subtract 1/3 from each side :
13/4 x = - 1/3
Multiply each side by 4 :
13 x = - 4/3
Divide each side by 13 :
<em>x =</em> (- 4/3) / (13) = <em>- 4 / 39</em>
Answer: x = 4 , y = -3
Step-by-step explanation:
Going by the Cramer's rule , we first determine the determinant by dealing with only the coefficients of x and y in the 2 x 2 matrix.
2x - 3y = 17
5x + 4y = 8
2 -3
5 4, going by the rule now, we now have
(2 x 4) - (5 x -3)
8 + 15
= 23.
Now to find the value of x , replace the constants with the coefficient of x and divide by he determinants.
17 -3
8 4
---------------
2 -3
5 4
( 17 x 4 ) - ( 8 x -3 )
---------------------------
23
= 68 + 24
------------
23
= 92/23
= 4.
x = 4
Now to find y, just repeat the process by replacing the coefficient of y with the constants.
2 17
5 8
-----------
2 -3
5 4
( 2 x 8 ) - ( 5 x 17 )
-----------------------
23
16 - 85
---------
23
= -69/23
= -3
y = -3.
check
substitute for the values in any of the equations above.
2(4) - 3(-3)
8 + 9
= 17
After she worked out the problem, she had a discrepancy (disagreement) of
about 45% between her estimate and the quotient.
That's a lot ! There's almost definitely a major mistake somewhere, and
there really isn't any way to tell whether the mistake is in the estimate or
in the quotient.
My answer to the question is that Lilly has to go all the way back to the
beginning, and do the whole thing again. Only this time, she has a harder
job to do: She not only has to make another estimate and work out the
division problem again. This time, she also has to find the mistake that
she made the first time ... and there may be more than one of them.
Answer:
(b) Find the odds in favor of Lena winning a headset
Step-by-step explanation:
Entire distance = 1,320
Entire time = 5 hours
bus avg = 40 km/h
plane avg = 600 km/h
Working this by trial and error
1 hour bus 4 hour plane = 40 + 2,400 = 2,800 distance (too high)
2 hour bus 3 hour plane = 80 + 1,800 = 1,880 distance (too high)
3 hour bus 2 hour plane = 120 + 1,200 = 1,320 distance (Correct!!)
So, they traveled 3 hours by bus and 2 hours by plane
(yes, you had the right answer).
