To write the second equation in the system, let's break down Simon's situation:
1. Simon took a loan of [tex]$3,300 for a boat.
2. He pays $[/tex]300 per month towards the loan.
The second equation should represent the remaining loan balance after [tex]\( x \)[/tex] months. To do this, we can set up an equation where [tex]\( y \)[/tex] is the remaining balance of the loan after [tex]\( x \)[/tex] months.
Here's how we derive it step-by-step:
- Initially, the loan amount is [tex]$3,300.
- Each month, Simon makes a $[/tex]300 payment towards the loan.
Therefore, the remaining loan balance decreases by $300 each month. We can express the remaining loan balance ([tex]\( y \)[/tex]) after [tex]\( x \)[/tex] months as follows:
[tex]\[ y = 3300 - 300x \][/tex]
So, the second equation is:
[tex]\[ y = 3300 - 300x \][/tex]
This equation tells us the remaining balance of the loan after [tex]\( x \)[/tex] months.
