I'm sure what if this is the right answer that the question is looking for. since my eng. not that good i have hard time understanding. Please help me.
Question:
write a situation that can be modeled by the following linear system. Explain what each variable means, then write a related problem.
Attempt to solve this problem by guessing at the values of x and y . For example, 100 and 30 add to 130, but do they satisfy the other equation? Try similar sets of numbers to find the set that satisfies both.
x+y=130
x-y=10
Thank YOu !
Together Mary (x) and John (y) have a total of $130
The difference is their money is $10
To answer this question, we need to understand what a linear system is and how to solve it.
A linear system consists of two or more equations with two or more variables. In this case, we have a system of two equations with two variables, x and y. The goal is to find the values of x and y that satisfy both equations simultaneously.
Now, let's break down each equation and understand what each variable represents:
1. x + y = 130: This equation represents the sum of the two variables x and y equaling 130. It implies that when we add these two variables together, their sum should be 130.
2. x - y = 10: This equation represents the difference between the two variables x and y equaling 10. It implies that when we subtract y from x, the result should be 10.
Now that we understand the meaning of each variable and equation, let's try to write a related problem that can be modeled by this linear system.
Problem: A bookstore sells two types of books, fiction (x) and non-fiction (y). The store manager notices that the total number of books sold (fiction and non-fiction combined) is 130. Additionally, the manager observes that when the number of fiction books sold is subtracted from the number of non-fiction books sold, the result is 10. Can you determine the number of fiction and non-fiction books sold?
To solve this problem, we can follow the approach mentioned in the question, which is to guess values for x and y until we find a pair that satisfies both equations. For example, we could start with x = 100 and y = 30 and plug them into the equations:
1. x + y = 130: 100 + 30 = 130 (satisfied)
2. x - y = 10: 100 - 30 = 70 (not satisfied)
Since the second equation is not satisfied, we try different values until we find a pair that satisfies both equations.