Respuesta :
Answer:
The black-and white printer print can print 15 pages per minute.
Step-by-step explanation:
The given modeled equations are
3b + 5c = 70...(i)
6b + 9c = 135...(ii)
where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer.
From equation (i), we have
[tex]3b=70-5c \\\\\Rightarrow b = \frac {70-5c}{3} \cdots(iii)[/tex]
Now, substitute the value of b in equation (ii), we have
[tex]6\times \frac {70-5c}{3}+9c=135 \\\\\Rightarrow 2(70-5c)+9c=135 \\\\\Rightarrow 140 - 10c+9c=135 \\\\\Rightarrow -c=135-140=-5 \\\\\Rightarrow c=5x^{2}[/tex]
By using equation (iii), we have
[tex]b = \frac {70-5\times5}{3}=\frac{45}{3}=15[/tex]
Hence, the black-and white printer print can print 15 pages per minute.
The black-and-white printer can print 15 pages per minute.
Given equations:
[tex]3b+5c=70[/tex] ........(i)
[tex]6b+9c=135[/tex] ........(ii)
Where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer.
Solve the system of equations by substitution method
From (ii)
[tex]6b=135-9c\\b=\frac{135-9c}{6}[/tex] ........(iii)
Put the value of b in (i), we get
[tex]3(\frac{135-9c}{6} )+5c=70\\\frac{135-9c}{2} +5c=70\\135-9c+10c=140\\c=5[/tex]
put c = 5 in (iii)
[tex]b=\frac{135-9(5)}{6} =\frac{90}{6} =15[/tex]
Therefore, The black-and-white printer can print 15 pages per minute.
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