Question

pls answer fast guys​

Answer 1

Answer:

x=76/51;y= -18/17

Step-by-step explanation:

Answer 2

The value of x and y are $\frac{22}{17}$ and $-\frac{18}{17}$ respectively.

Step-by-step explanation:

The expression is:

$\left[\begin{array}{ccc}3&-2\\4&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}6\\2\end{array}\right]$

Simplify as follows:

$\left[\begin{array}{ccc}3&-2\\4&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}6\\2\end{array}\right]$

$\left[\begin{array}{ccc}3x&-2y\\4x&3y\end{array}\right]=\left[\begin{array}{ccc}6\\2\end{array}\right]$

$3x-2y=6...(i)\\4x+3y=2...(ii)$

Solve the two equations as follows:

Multiply (i) by 3 and (ii) by 2 and add the resultant equations as follows:

$9x-6y=18\\8x+6y=4\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\17x=22\\x=\frac{22}{17}$

Substitute the value of x in (i) and solve y as follows:

$3x-2y=6\\2y=(3\times\frac{22}{17})-6\\y=-\frac{18}{17}$

Thus, the value of x and y are $\frac{22}{17}$ and $-\frac{18}{17}$ respectively.