Answer:
The augmented matrix is of two equations, and two variables.
Step-by-step explanation:
This is an augmented matrix, which means the constant terms are on the last column.
The matrix can be written as
X1 + kX2 = 3
-5X1 + 6X2 = 1
The constants are 3, 1, and all the coefficients of the variables, X1 and X2.
X1 and X2 can take any values.
k is constant, just like 1, -5, and 6.
Though, it is not specified, the consistency or inconsistency of the equation depends on the value k takes.
Any real numbers , I think
X = Harry's Age
Nick's age is 7x
In 6 years Harry is 7x+6, and Nick is 5(x+6)
7x+6=5x+30
2x+6=30
2x = 24
x = 12
Harry = 12 years old and in 6 years Harry will be 18.
Answer:
(a)
(b)
Step-by-step explanation:
(a) For using Cramer's rule you need to find matrix and the matrix for each variable. The matrix is formed with the coefficients of the variables in the system. The first step is to accommodate the equations, one under the other, to get more easily.
To get , replace in the matrix A the 1st column with the results of the equations:
To get , replace in the matrix A the 2nd column with the results of the equations:
Apply the rule to solve :
In the case of B2, the determinant is going to be zero. Instead of using the rule, substitute the values of the variable in one of the equations and solve for :
(b) In this system, follow the same steps,ust remember is formed by replacing the 3rd column of A with the results of the equations:
I believe its B.
Hope this helps!