Solve the system using matrices (row operations) {-3x + 4y = 4, 4x - 3y = -3. Ho

Question

Solve the system using matrices (row operations) {-3x + 4y = 4, 4x - 3y = -3. How many solutions are there to this system? A. None B. Exactly 1 C. Exactly 2 D. Exactly 3 E. Infinitely many F. None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, enter t in the answer blank for y and enter a formula for x in terms of t in the answer blank for x, If there are no solutions, leave the answer blanks for x and y empty. x = 1 + t y = t Your score was recorded. You have attempted this problem 5 times. You received a score of 0% for this attempt.

Explanation / Answer

-3x +4y = 4 --(1)

4x -3y = -3 ---(2)

Multiply equation 1 by 4 and equation 2 by 3

-12x + 16y = 16

12x - 9y = -9

-----------------(add)

7y = 7 ; y = 1

-3x +4 = 4 ; x = 0

Solution ( 0, 1)

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