The new value is-3 because the difference of 3 is -3 (always the opposite
<u>Answer:</u>
The solution to the equation 3/5x-4-3/7x+8 is x = -6
<u>Solution:</u>
Given that equation is ![\frac{3}{5x-4} - \frac{3}{7x+8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5x-4%7D%20-%20%5Cfrac%7B3%7D%7B7x%2B8%7D)
We are asked to find the solution of the equation
So to find the solution of the equation put it equal to 0
![\frac{3}{5x - 4} - \frac{3}{7x + 8} = 0](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5x%20-%204%7D%20-%20%5Cfrac%7B3%7D%7B7x%20%2B%208%7D%20%3D%200)
On cross multiplication we get,
![\frac{3(7 x+8)-3(5 x-4)}{(5 x-4)(7 x+8)} = 0](https://tex.z-dn.net/?f=%5Cfrac%7B3%287%20x%2B8%29-3%285%20x-4%29%7D%7B%285%20x-4%29%287%20x%2B8%29%7D%20%3D%200)
On solving we get,
![\frac{21 x+24-15 x+12}{(5 x-4)(7 x+8)}=0](https://tex.z-dn.net/?f=%5Cfrac%7B21%20x%2B24-15%20x%2B12%7D%7B%285%20x-4%29%287%20x%2B8%29%7D%3D0)
6x+36=0
6x = -36
x = -6
Hence the solution to the equation is x = -6
'is' in mathematics means the equal sign
'of' in mathematics means the multiplication sign
the number can be any variable you chose it to be
![14 = \frac{28}{100} \times x](https://tex.z-dn.net/?f=14%20%3D%20%5Cfrac%7B28%7D%7B100%7D%20%5Ctimes%20x)
Divide both sides by 28
![\frac{1}{2} = \frac{x}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7Bx%7D%7B100%7D)
Multiply by 100 on both sides to isolate 'x'
14 is 28% of 200
Answer:
58
Step-by-step explanation:
set them equal and solve for b
70-2b=28+5b
7b=42
b=6
now plug be back in
28 + 5(6) = 58