Question

x + 2y = 33
x-y = 11

Answer 1

Answer:

$x=\frac{55}{3},\:y=\frac{22}{3}$

Step-by-step 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

$y=\frac{22}{3}$

$x+2\cdot \frac{22}{3}=33$

$\mathrm{Subtract\:}2\frac{22}{3}\mathrm{\:from\:both\:sides}$

$x+2\cdot \frac{22}{3}-2\cdot \frac{22}{3}=33-2\cdot \frac{22}{3}$

$x=\frac{55}{3}$

$x=\frac{55}{3},\:y=\frac{22}{3}$