How do you solve this linear system - 9x plus 2y equals 5 and 7x plus 7y equals - 4?

Answer 1

-9x + 2y = 5 (1)
7x + 7y = -4 (2)

Mutiply first equation by 7 and second equation by 2

-63 x + 14 y = 35 (3)
14 x + 14 y = -8 (4)

eq 4 minus eq 3 gives:

77 x = - 43 accordingly x = - 43/77

Substitute x in eq (1):

-9 (-43/77) + 2y = 5

2y = 5 - (9)(43)/77 = (385-387)/77 = -2/77

y = -1/77

Answer: x = -43/77 and y = -1/77