Question #6cddc

1 Answer
Oct 3, 2017

Plot the two graphs and the solution is the point of intersection. That is, read off the x and y intercept of the point of intersection as your solution.

Explanation:

I apologise for not providing the sketch - I am still unfamiliar with the platform.

Nevertheless, in sketching your graphs it is important to express them in terms of y. So, for your first function the equation is #y=x/5 +8# and for the second function, #y=x/2 - 10#. Choose one function: find its x-intercept by letting #y=0# and the y-intercept by letting #x=0#. Then join the points to obtain your linear function. Do the same for your next function. The solution of the equations is where the graphs intersect/cross each other.

You can verify your solutions through algebra. Since your equations are both in terms of #x#, you do not need to alter them. Simply equate them to each other, that is:
#5y-40=2y+20#
#3y=60#
#:. y=20#
Take this y and substitute it into any one of the two equations.
#x = 5(20)-40#
#:. x =60#

The solution is #(60,20)#