Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.)
-2.1x - 2.8y - 5.0z = 2.2 4.9x - 3.2y - 1.8z = -4.2
2.1x - 1.2y - 4.6z = 11.1
A) {(2.1, 6.3, -3.1)}
B) {(4.3, 12.7, -6.2)}
C) {(8.6, 25.3, -12.3)}
D) {(10.7, 31.7, -15.4)}

Question

Quizplus · Accepted Answer

To solve the system using Cramer's rule, we calculate the determinants of the coefficient matrix and the matrices obtained by replacing one column of the coefficient matrix with the column of constants for each variable. The solution is found by dividing the determinant of each modified matrix by the determinant of the coefficient matrix. The correct answer, rounded to one decimal place, matches option A: {(2.1, 6.3, -3.1)}.

Use the Determinant Feature of a Graphing Calculator to Solve