Question

Solve the system using elimination:

5x-4y=3
-10x+8y=-2

Answer 1

For this case we have the following system of equations:

`5x-4y = 3\\-10x + 8y = -2`

We multiply the first equation by 2:

`10x-8y = 6`

We have the following equivalent system:

`10x-8y = 6\\-10x + 8y = -2`

We add the equations:

`10x-10x-8y + 8y = 6-2\\0 = 4`

Equality is not fulfilled. For any value of "x" or "y" the system will have no solution.

Answer:

The system has no solution.