(1/2)y – 7x = -3, 2x – y = 5

Question

 (1/2)y – 7x = -3, 2x – y = 5

Answer 1

Second equation says:

2x - 5 = y

(1/2)(2x-5) - 7x = -3

x - 5/2 - 7x = -3

-6x - 5/2 = -3

-6x = -3 + 5/2 = -6/2 + 5/2 = -1/2

x = 1/12 ---> y = 2(1/12)-5 = 1/6 - 5 = 1/6 - 30/6 = -29/6

CHECK

(1/2)(-29/6) - 7(1/12) = -29/12 - 7/12 = -36/12 = -3

2(1/12) - -29/6 = 1/6 + 29/6 = 20/6 = 5