Determine the equivalent system for the given system of equations:

5x + 3y = 1

4x - 5y = 4

A. 5x + 3y = 1

8x - 10y = 4

B. 5x + 3y = 1

9x - 2y = 5

C. - 5x - 3y = 1

4x - 5y = 4

D. 2x + 3y = 7

9x - 2y = 4

5x + 3y = 1

9x - 2y = 5

Step-by-step explanation:

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B

Step-by-step explanation:

5x + 3y = 1 ... 25x + 15y = 5

4x - 5y = 4 ... 12x - 15y = 12

37x = 17 x = 17/37

y = (1 - 5 x (17/37)) / 3 = - 16/37

B. 5x + 3y = 1 ... 5 x 17/37 + 3 x ( - 16/37) = 37/37 = 1

9x - 2y = 5 ... 9 x 17/37 - 2 x ( - 16/37) = 185/37 = 5