A small company has one color printer and one black-and-white printer, each printing at different rates. The color printer, working for 5 minutes and the black-and-white printer working, working for 3 minutes, print a total of 70 pages. When the black-and-white printer works for 6 minutes and the color printer works for 9 minutes, they print a total of 135 pages. This is modeled by the situation below, 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 3b + 5c = 70 and 6b + 9c = 135 How many pages per minute does the black-and white printer print?

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

Now, substitute the value of b in equation (ii), we have

By using equation (iii), we have

Hence, the black-and white printer print can print 15 pages per minute.

the answer for your question is

step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.