Question

PLEASE I NEED HELP RN use the elimination method to solve. -7x+y=-19 -2x+3y=-19

Answer 1

Answer:

  (x, y) = (2, -5)

Step-by-step explanation:

The coefficient of y in the second equation is an integer multiple of the coefficient in the first equation, so it is convenient to eliminate y. Subtracting 3 times the first equation from the second, we have ...

  (-2x +3y) -3(-7x +y) = (-19) -3(-19)

  -2x +3y +21x -3y = -19 +57 . . . . . . . eliminate parentheses

  19x = 38 . . . . . . . . . simplify

  x = 2 . . . . . . . divide by 19

  -7(2) +y = -19 . . . . . substitute for x in the first equation

  y = -5 . . . . . . add 14

The solution is (x, y) = (2, -5).