Question

Complete the following activity and choose the correct option for the empty box. ​

Answer 1

Answer:

-60

Step-by-step explanation:

cross multiplication

Answer 2

Answer:

The correct option for the empty box is:

• -10
• 2

Explanation:

Box 1:

4m + 6n = 54

3m + 2n = 28

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

D $= 4*2-6*3$

D $=8-18$

D= - 10

Box 2:

$D_{m} =\left[\begin{array}{ccc}54&6\\28&2\\\end{array}\right]$

$D_m = 54*2 - 28*6$

$D_m= 108-168$

Thus the answer is - 60

Where the given box will be filled with 2 in line with the matrix.

Matrix:
A matrix, also known as matrices, is a rectangular array or table of letters, numbers, or other symbols arranged in rows and columns that are used to represent a mathematical object or a characteristic of one.

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