Question

Question #6cddc

Answer 1

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)`