Question

solve the system using any algebraic method 4x-y=4 and x+2y=10

Answer 1

Cross out / cancellation method ( I forgot the actual name of it sorry)
cancel out x or y first. So... lets cancel out x , multiply the second equation by the inverse of 4 (negative four) and you get -4x-8y=-40.
Set up the first equation above the second
4x-y=4
-4x-8y=-40
the x's cancel out, see?
You get -9y=-36
Divide both sides by -9
y = 4 :]

Plug four back into one of the *original* equations for y, to solve for x.
(I'm new here, hope I explained this well)

Answer 2

*It's called elimination