Question

How to create a system equation

Answer 1

To create a system of equations, you need to set up equations that represent different relationships between variables. By solving these equations simultaneously, you can find the values of the unknown quantities. Remember to check your solution to ensure it satisfies all the equations.

Step-by-step explanation:

1. Step 1: Determine the system of interest and identify the given information and the quantity to be calculated.
2. Step 2: Identify the equation(s) to use.
3. Step 3: Ensure that all values are in the correct units and substitute them into the equation(s).
4. Step 4: Solve the equation(s) to find the unknown quantity.
5. Step 5: Check the answer for reasonableness.

Creating a system of equations involves setting up equations that represent different relationships between variables. For example, if you have two unknown quantities A and B, and you know that the sum of A and B is 10, and the difference between A and B is 4, you can set up two equations: A + B = 10 and A - B = 4. By solving these equations simultaneously, you can find the values of A and B. Remember to check your solution to ensure that it satisfies both equations.

Answer 2

Step-by-step explanation:

Write a system of equations to model the situation. Add the equations to eliminate the y-term and then solve for x. Substitute the value for x into one of the original equations to find y. Check your answer by substituting x = 8 and y = 2 into the original system.