Question

Which of the following statements is true about the solution of the system

-8x + 12y = 4
2x - 3y = 3

There is one solution
There are two solutions
There are an infinite number of solutions
There are no solutions

Answer 1

there are no solutions

Explanation:

- 8x + 12y = 4 → (1)

2x - 3y = 3 → (2)

multiply (2) by 4

8x - 12y = 12 → (3)

add (1) and (3) term by term

0 + 0 = 16 , that is

0 = 16 ← not possible

this indicates the system has no solutions