One worker can finish a job in 9 hours, and another for 6 hours. The first worker started working at 7 am and the 2nd worker sta
rted one hour later. Find after how many hours the work will be finished if both workers did an equal amount of work.
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Answer:
-8v + 3(v - 3) = 16
Distribute the 3:
-8v + 3(v) + 3(-3) = 16
-8v + 3v - 9 = 16
Combine like terms and simplify:
-5v - 9 = 16
-5v - 9 + 9 = 16 + 9
-5v = 25
Divide both sides by -5:
-5v/(-5) = 25/(-5)
v = -5.
Step-by-step explanation:
The standard form for a line is Ax+By=C
First, we need to find the slope, or change in y over change in x. For the first one, this is
, which is impossible to find as we cannot divide by 0, meaning that this is constant horizontally -- in this case, x=2. Thus, we have 1*x+0*y=2.
For the second one, we can find the slope by getting
. We can then take the point (3,0) (it can be any point on the line) and get our equation to be y-0 = (-2/3) (x-3). Converting this to standard form, we can expand this to get
y= (-2/3)*x +2
(-2/3)*x+1*y = 2