Question

Solve by elimination 3x+3y=0 and -2x-y=0

Answer 1

Y=0 because you must get like terms in order to start the process of elimination and once you get same terms then you eliminate. And subtract or add the divide by y or x to get your answer. So y=0

Answer 2

`x=0,\:y=0`

Explanation:

`\begin{bmatrix}3x+3y=0\\ -2x-y=0\end{bmatrix}\\\\\mathrm{Multiply\:}3x+3y=0\mathrm{\:by\:}2\:\mathrm{:}\:\\\quad \:6x+6y=0\\\\\mathrm{Multiply\:}-2x-y=0\mathrm{\:by\:}3\:\mathrm{:}\:\\\quad \:-6x-3y=0\\\\\begin{bmatrix}6x+6y=0\\ -6x-3y=0\end{bmatrix}\\\\\\-6x-3y=0\\+\\\underline{6x+6y=0}\\3y=0\\\\\begin{bmatrix}6x+6y=0\\ 3y=0\end{bmatrix}\\\\\mathrm{Solve}\:3y=0\:\mathrm{for}\:y:\quad y=0\\\\\mathrm{For\:}6x+6y=0\mathrm{\:plug\:in\:}y=0`

`\mathrm{Solve}\:6x+6\cdot \:0=0\:\mathrm{for}\:x:\quad x=0\\\\x=0,\:y=0`