Question

Given the system of equations: 7X, + 3X2 = 12 -6x - 3x2 = 4 a. Set up the coefficient matrix for the system and find its inverse. Show all work. b. Solve the system using the inverse matrix found in part a. c. State the solution to the system. Simplify your answers, using integers or simplified fractions. (No decimals.)

Answer 1

Explanation:

Given is the system of equations:

`7X_1 + 3X_2 = 12\\ -6x_1 - 3x_2 = 4`

a) Coefficient matrix is

7 3

-6 -3

b) |A|= -21+18=-3

c) Inverse =

1 --1

2 -7/3

c) Solution = product of inverse matrix * (12 4) Transpose

X1 = 16 and X2 =-100/3