SOLUTION: Equality of Matrices. Solve for x and y.
[x 2y] = [2 -2]
[4 6] [2x -6y]
Algebra.Com
Question 1127893: Equality of Matrices. Solve for x and y.
[x 2y] = [2 -2]
[4 6] [2x -6y]
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Answers: x = 2, y = -1
----------------------------------------------------------------------------
To get these answers, you simply equate the corresponding pieces of the two matrices.
The top left corner of the left and right matrices are x and 2 respectively. Those entries must be the same for the entire two matrices overall to be equal. Therefore, x = 2.
Through similar reasoning, the top right corners must also be equal, so 2y = -2 leads to y = -1
As a check, note how the bottom left corners are 4 and 2x. So 4 = 2x which solves to x = 2, confirming our prior solution above.
Finally, the bottom right corners equate to get 6 = -6y and solve to get y = -1. This backs up the other solution.
RELATED QUESTIONS
solve system using matrices x-5y+3z=9, 2x-y+4 z=6,... (answered by Fombitz)
CRAMER RULE, ELIMIATION OR SUBSTITUTION METHOD, AND MATRICES PRACTICE PROBLEMS
1. (answered by richard1234)
Solve the system of linear equations using matrices.
x+7y=6
x+6y=2... (answered by jorel1380)
Use matrices to solve each system of equations. If a system has no solution, so indicate.
(answered by Edwin McCravy)
2) Solve the following linear system using matrices:
2x-y+3z=-4... (answered by Fombitz)
Solve using matrices please
x+y+z=9
3x-y+z=-1... (answered by jsmallt9)
use matrices to solve this system:
2x+3y+z=2
5x-2y-z=4... (answered by richwmiller)
Can anyone help me with these problems please?
1) Use the matrix method to solve:... (answered by jim_thompson5910)
Use matrices to solve the system of equation.
x+2y=-4... (answered by tommyt3rd)