How do you solve the system using matrices. -x+2y=1.5 2x-4y=3
We have the simultaneous equations
-x + 2y = 1.5 ...(1)
2x - 4y = 3 ...(2)
Looking at the two matrices we see that 2*(1) = -2x + 4y = 3
=> 2x - 4y = -3
Comparing to (2) we see that 2x - 4y = 3 and 2x - 4y = -3
This is not possible. Therefore it is not possible to solve the equations. There is no use of using the matrix method as it would not yield a solution
The set of equations cannot give a solution.
You can use the scientific TI-83 or TI-84 to find the solution of this system of equations.
Press 2nd then X^-1 button.
Set up your matrix by 2 x 3
enter the values as following for your variables on left side and constant on the right side in the martrix as following:
-1 2 1.5
2 -4 3
Then press 2nd MODE
Then go back to 2nd Matrix
Go to MATH
Go to B: rref ( press ENTER
Go Back to 2nd MATRIX
Press enter on [A] matrix
Then press ENTER again
The solution for this matrix is
There is no real solution to this matrix, since the value of one of the variable is zero.