Question

Answer to [4x 42]=[24 6y] matrices

Answer 1

The x and y values in the given matrices are 6 and 7 respectively.

Explanation:

Step 1; Both the given matrices are of the order 1 × 2. So to solve the values of x and y is just a matter of substitution. We substitute the values which correspond with each other i.e we substitute the values of
`a_(11)` which is the element at row 1 column 1 of both matrices. Similarly, the values of
`a_(12)` in both matrices are substituted with each other.

Step 2; The value of
`a_(11)` of the first matrix is 4x and the corresponding value in the second matrix is 24. So 4x will be equal to 24. Similarly, the value of
`a_(12)` in the second matrix is 6y and its corresponding value in the first matrix is 42. So 6y will equal 42.

4x = 24, x =
`(24)/(4)`, x = 6

6y = 42, y =
`(42)/(6)`, y = 7