select the correct answer from each drop - down menu. joanne purchased a new computer for $1,700. she will…

select the correct answer from each drop - down menu. joanne purchased a new computer for $1,700. she will need to pay $80 each month, interest free, to pay off the total price of the computer. she plans to put $150 each month in her savings account, which currently has a balance of $300. create an augmented matrix from a system of equations to help joanne determine when she can pay off the total purchase price of the computer.

select the correct answer from each drop - down menu. joanne purchased a new computer for $1,700. she will need to pay $80 each month, interest free, to pay off the total price of the computer. she plans to put $150 each month in her savings account, which currently has a balance of $300. create an augmented matrix from a system of equations to help joanne determine when she can pay off the total purchase price of the computer.

Answer

Explanation:

Step1: Define variables

Let $x$ be the number of months. The cost - payment equation is $80x=1700$ (since she pays $80$ per month to pay off a $1700$ - dollar computer), and the savings - balance equation is $150x + 300=y$ (where she starts with $300$ and saves $150$ per month). We can rewrite the first equation as $80x+0y = 1700$ and the second as $150x+(- 1)y=-300$.

Step2: Create augmented matrix

The augmented matrix for the system of linear equations $\begin{cases}80x+0y = 1700\150x - y=-300\end{cases}$ has the form $\left[\begin{array}{cc|c}80&0&1700\150&-1&-300\end{array}\right]$.

Answer:

Row 1: $80$, $0$, $1700$ Row 2: $150$, $-1$, $-300$