Question

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

Answer 1

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

Step-by-step 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 = $\frac{24}{4}$, x = 6

6y = 42, y = $\frac{42}{6}$, y = 7