### Find x and y, if [2x+y-1134y4][-1 64303]=[3556187].

Exercise 2.2 | Q 13 | Page 47

#### QUESTION

Find x and y, if .

#### SOLUTION

∴ $\left[\begin{array}{ccc}2x+y-1& -1+6& 1+4\\ 3+3& 4y+0& 4+3\end{array}\right]=\left[\begin{array}{ccc}3& 5& 5\\ 6& 18& 7\end{array}\right]$

∴ $\left[\begin{array}{ccc}x+y-1& 5& 5\\ 6& 4y& 7\end{array}\right]=\left[\begin{array}{ccc}3& 5& 5\\ 6& 18& 7\end{array}\right]$

∴ By equality of matrices, we get
2x + y – 1 = 3 and 4y = 18

∴ 2x + y = 4 and y = $\frac{18}{4}=\frac{9}{2}$

∴ $2+\frac{9}{2}$ = 4

∴ 2x = $4-\frac{9}{2}$

∴ 2x = $-\frac{1}{2}$

∴ x = $-\frac{1}{4}$ and y = $\frac{9}{2}$.