Question

Find the solution to the following system by using the substitution method . VIEW ATTATCHED IMAGE .

Answer 1

He has two different options:

1) He can earn $600 plus a 5% sales commission, or

2) He can ear $450 plus a 7% sales commission.

The option 1, where x is the sales amount per month, can be writen as:

`S_1(x)=600+0.05x_{}`

The option 2 can be written as:

`S_2(x)=450+0.07x`

Both salaries are equal when S1(x)=S2(x), so we can use this equality to solve for x:

`\begin{gathered} S_1(x)=S_2(x) \\ 600+0.05x=450+0.07x \\ 600-450=0.07x-0.05x \\ 150=0.02x \\ x=(150)/(0.02) \\ x=7500 \end{gathered}`

The salary for x=7500, we can calculate as:

`y=600+0.05\cdot7500=600+375=975`

Answer:

Equation 1: y=600+0.05x

Equation 2: y=450+0.07x

The solution is x=7500, representing $7500 in sales.

Anthony will earn $975.