Question

Solve the linear system

4x +9y = -72
4x +9y = 54

This needs to be answered in x and y

Answer 1

no solution

Explanation:

4x + 9y = - 72 → (1)

4x + 9y = 54 → (2)

multiply (1) by - 1

- 4x - 9y = 72 → (3)

add (2) and (3) term by term

0 + 0 = 126 , that is

0 = 126 ← not possible

This indicates the system has no solution