Use the addition elimination method to solve the system Simp

Use the addition (elimination) method to solve the system. (Simplify your answer completely.) {-3(x - 2y) = -21 5x = 4y + 35 (x, y) = Watch the video below then answer the question. Use Elimination to identify Inconsistent Systems

Solution

-3(x -2y) = -21

-3x + 6y = -21 ----(1)

5x -4y = 35 -----(2)

Mutily equation 1 by 5 and equation 2 by 3:

-15x + 30y = -105

15x - 12y = 105

------------------------ add

18y = 0

y =0

Now find x ferom equation 1: -3x +0 = -21

x = 7

Solution ( 7, 0)