Answer:
a=6, b=-5
a=12, b=-5
Step-by-step explanation:
We have the equation
![\frac{1}{4}(2a-20x)=3+bx](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%282a-20x%29%3D3%2Bbx)
we will try to resolve for
in terms of
and ![b](https://tex.z-dn.net/?f=b)
Then
![\frac{1}{4}(2a-20x)=3+bx\\\frac{a}{2}-5x=3+bx\\\frac{a}{2}-3=5x+bx\\\frac{a-6}{2}=(5+b)x\\\frac{a-6}{2}\frac{1}{5+b}=x\\\frac{a-6}{10+2b}=x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%282a-20x%29%3D3%2Bbx%5C%5C%5Cfrac%7Ba%7D%7B2%7D-5x%3D3%2Bbx%5C%5C%5Cfrac%7Ba%7D%7B2%7D-3%3D5x%2Bbx%5C%5C%5Cfrac%7Ba-6%7D%7B2%7D%3D%285%2Bb%29x%5C%5C%5Cfrac%7Ba-6%7D%7B2%7D%5Cfrac%7B1%7D%7B5%2Bb%7D%3Dx%5C%5C%5Cfrac%7Ba-6%7D%7B10%2B2b%7D%3Dx)
Note that if the denominator is 0, then the division is undefined and therefore there would be no solution for x.
Then, the denominator is 0 if
.
Then, for the pairs
a=6, b=-5 and a=12, b=-5, there is no solution for x.
Answer:
B = (A - C)/5
Step-by-step explanation:
Subtract both sides by C
A - C = 5B
Divide both sides by 5
B = (A - C)/5