It takes 56 hours to build three bed frames, a bookcase, and four chairs. It takes 66 hours to build four bed frames and six chairs. It takes 89 hours to build two bed frames, seven bookcases and three chairs. How many hours does it take to build one bed frame?

Step-by-step explanation:

Let the times be:

We have following equations:

Simplify the second equation and subtract from the third one:

Replacing b in the first and third equations:

Four times the bottom equation and subtract the triple the one above:

It takes 12 hours to build one bed frame

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)