Question

X + 2y = 33
x-y = 11

Answer 1

`x=(55)/(3),\:y=(22)/(3)`

Explanation:

Solve by Elimination

`\begin{bmatrix}x+2y=33\\ x-y=11\end{bmatrix}`

`\begin{bmatrix}x+2y=33\\ -3y=-22\end{bmatrix}`

`-3y=-22`

Divide -3 on both sides

`y=(22)/(3)`

`x+2\cdot (22)/(3)=33`

`\mathrm{Subtract\:}2(22)/(3)\mathrm{\:from\:both\:sides}`

`x+2\cdot (22)/(3)-2\cdot (22)/(3)=33-2\cdot (22)/(3)`

`x=(55)/(3)`

`x=(55)/(3),\:y=(22)/(3)`