Question

Fill in the blanks so that the resulting statement is If [[1,x],[y,-8]]=[[1,-5],[4,-8]], then x= __

Answer 1

To find the value of x, set up two equations by equating the corresponding elements of the matrices and solve for x.

Step-by-step explanation:

To find the value of x, we need to solve the equation [[1,x],[y,-8]] = [[1,-5],[4,-8]].

1. Since the corresponding elements of the matrices are equal, we can set up two equations: 1 = 1 and x = -5.
2. From the first equation, we can see that 1 is equal to 1, so it is satisfied.
3. From the second equation, we can see that x is equal to -5.

To find the value of x, we need to look at the second element of the first row in both matrices. In the matrix on the left, the element is x, and in the matrix on the right, the corresponding element is -5. Therefore, we can conclude that x = -5.