Question #6cddc

1 Answer
Siyabonga M.
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)

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