Question

X + 2y = 33
x-y = 11

Answer 1

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

Explanation:

Solve by Substitution ;

`\begin{bmatrix}x+2y=33\\ x-y=11\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:x+2y=33:\quad x=33-2y\\\\\mathrm{Subsititute\:}x=33-2y\\\\\begin{bmatrix}33-2y-y=11\end{bmatrix}\\\\Simplify\\\begin{bmatrix}33-3y=11\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:33-3y=11:\quad y=(22)/(3)\\\mathrm{For\:}x=33-2y\\\\\mathrm{Subsititute\:}y=(22)/(3)\\x=33-2*(22)/(3)\\\\x=(55)/(3)\\\\x=(55)/(3),\:y=(22)/(3)`