Answer: 5425
Step-by-step explanation:
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7]
6/(x-1)-5x/4
subtracting the above we put the fraction under the same denominator:
6/(x-1)-5x/4
multiplying the denominators we get:
4(x-1)
thus subtracting we get:
6/(x-1)-5x/4
=(4*6-5x(x-1))/[4(x-1)]
=[24-5x^2+5x]/(4x-4)
Answer:
(-5x^2+5x+24)/(4x-4)
9]
3/(x+7)+4/(x-8)
the common denominator is:
(x+7)*(x-8)=(x+7)(x-8)
thus adding the fractions we put them under the same denominator as follows:
[3(x-8)+4(x+7)]/[(x+7)(x-8)]
=[3x-24+4x+28]/[(x+7)(x-8)]
=(7x+4)/[(x+7)(x-8)]
This can be displayed as 5x = 28 - 2x
We can solve for the value of x by making the following changes:
<u>Add 2x to both sides</u>
7x = 28
<u>Divide by 7</u>
x = 4
(-1/2)/x = -7/3
*multiply both sides by x
(-1/2) = (-7/3)x
*divide both sides by (-7/3)
(-1/2)/(-7/3) = x
dividing by a fraction is the same as multiplying by it's reciprocal:
x = (-1/2)*(-3/7)
* the negative signs cancel
x = (1/2)*(3/7)
x = (1*3)/(2*7)
<u><em>x = 3/14</em></u>