Question

Using the matrix solver on your calculator, find the solution to the system of

equations shown below.

2x - 4y = 4

x - 2y = 8

Answer 1

To solve the system of equations with a matrix solver, you must represent the equations in matrix form and then use your calculator's matrix functions to find the solution. However, for the given system, the equations are multiples of each other, indicating that the system is dependent and has infinitely many solutions.

Step-by-step explanation:

To find the solution to the system of equations using a matrix solver:

1. Write the equations in the form of AX = B, where A is the coefficients matrix, X is the variables matrix, and B is the constants matrix.
2. For the given system:

• 2x - 4y = 4
• x - 2y = 8

The coefficient matrix A is:

• [2 -4]
• [1 -2]

The variables matrix X is:

• [x]
• [y]

The constants matrix B is:

• [4]
• [8]

Use your calculator's matrix function to enter the matrices A and B.Calculate the inverse of matrix A, if it exists.Multiply the inverse of matrix A by matrix B to solve for X.

If you notice, the equations are multiples of each other, so the system is dependent, meaning it has infinitely many solutions.