Question

PLEASE HELP TIMED TEST What is the value of x in the matrix equation below?

3
-21
8
х
10
N
3
-1
-7
-4
-3
-1
.

Answer 1

x = 1

Explanation:

Given the matrix;

`-2\left[\begin{array}{ccc}x&-1\\3&5\end{array}\right] + \left[\begin{array}{ccc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{ccc}x&10\\-7&-4\end{array}\right]`

Converting to equations

From the first row of each matrices

-2x + 3 = x

Collect the like terms

-2x - x = -3

-3x = -3

x = -3/-3

x = 1

Hence the value of x is 1