To find the solution to a system of two linear equations, you can follow these steps:
1. Write down the given equations in standard form:
Equation 1: ax + by = c
Equation 2: dx + ey = f
2. Set up a 2x2 matrix with the coefficients of x, y, and the constants:
[ a b | c ]
[ d e | f ]
3. Use Gaussian elimination or any other method to row-reduce the matrix into row-echelon form.
4. Once you have the row-echelon form, read the values of x and y from the last column of the matrix. These values will be the solutions to the system of equations.
In this case, since the given solution is x = 3 weeks and y = 9 feet, you can reverse engineer the steps above to find the original equations and coefficients.
The solution to a system of two linear equation is x = 3 weeks; y = 9 feet
what are the steps?
1 answer
1 answer