- #1
caprija
- 34
- 0
never mind
i got it :)
i got it :)
Last edited:
Thank u :)berkeman said:Correct. Use the fact from your first equation that x = 1 - y.
A linear system word problem is a type of mathematical problem that involves finding the values of multiple variables within a system of linear equations. These equations are represented by lines on a graph, and the goal is to find the point where the lines intersect, which represents the solution to the problem.
To solve a linear system word problem, you must first identify the variables and write out the equations for each variable. Then, you can use various methods such as substitution or elimination to solve for the values of the variables. Finally, you can check your solution by plugging in the values to ensure they satisfy all of the equations.
Linear system word problems have many real-life applications, such as in finance for budgeting and investing, in engineering for designing and analyzing systems, and in physics for calculating motion and forces. They can also be used to model and solve problems in daily life, such as determining the optimal route for a road trip or finding the best deal when comparison shopping.
There are several strategies you can use to approach a linear system word problem. One common method is to create a table or chart to organize the given information and make it easier to identify the variables and equations. You can also use visual aids such as graphs or diagrams to help understand the problem and identify potential solutions. Additionally, it can be helpful to start with simpler problems and gradually work your way up to more complex ones.
Yes, a linear system word problem can have multiple solutions. This occurs when the lines representing the equations are parallel, meaning they never intersect. In this case, there are no unique solutions, and any point on the parallel lines can be considered a solution to the problem. It is important to carefully analyze the given information and equations to determine if there are multiple solutions or if there is a unique solution to the problem.