Which equation does the graph of the systems of equations solve?
$-\frac{1}{3} x+3=x-1$
Answer (1)
The problem provides the equation − 3 1 x + 3 = x − 1 .
The equation represents the solution to a system of equations where two lines intersect.
The given equation is the equation that the graph of the system of equations solves.
Therefore, the answer is − 3 1 x + 3 = x − 1 .
Explanation
Understanding the Problem The problem asks us to identify the equation that the graph of the given system of equations solves. In this case, we are given the equation − 3 1 x + 3 = x − 1 . This equation represents the solution to a system of equations where the graphs of two lines intersect. The equation itself is the solution.
Identifying the Equation The equation given is − 3 1 x + 3 = x − 1 . This equation is the solution to the system of equations.
Examples
In real-world scenarios, solving equations like this can help determine the break-even point in business, where costs equal revenue. For example, if − 3 1 x + 3 represents the cost of producing x items and x − 1 represents the revenue from selling x items, solving the equation gives the number of items needed to be produced and sold to break even. Understanding how to solve such equations is crucial for making informed decisions in various fields, including economics, engineering, and finance.
