Question

3x + 5y = -27 |-7x - 5y = 3

Answer 1

Answer:

  (x, y) = (6, -9)

Step-by-step explanation:

Add the two equations to eliminate the y-variable:

  (3x +5y) +(-7x -5y) = (-27) +(3)

  -4x = -24 . . . simplify

  x = 6 . . . . . . divide by -4

Substitute this value of x into the first equation and solve for y:

  3(6) +5y = -27

  5y = -45 . . . . . . . subtract 18

  y = -9 . . . . . . . . . divide by 5

The solution to this system of equations is (x, y) = (6, -9).