Question #672cd

1 Answer
Feb 24, 2017

Answer:

#y = -x+4 and y = 1/4x+14#

Explanation:

Slope-intercept form of the equation of a straight line is #y = mx+c#

#-1.1x-5.5y = -4.4" "larr# re-arrange the equation

#color(white)(........) -5.5y = 1.1x -4.4" "larr# divide by #-1.1#

#color(white)(..................)y = -x+4#

Do the same for the other equation:

#0.8x-3.2y = -11.2" "larr# re-arrange the equation

#color(white)(.....)-3.2y = -0.8x-11.2" "larr# divide by #-3.2#

#color(white)(................)y = 0.25x+14#

#color(white)(................)y = 1/4x+14#

Now plot the graphs.

The break-even point can be found from the point of intersection of the the two lines.
graph{(-x-y+4)(x/4-y+14)=0 [-21.75, 18.25, -2.72, 17.28]}