Question

Solve the system of equation for y using Cramer's rule. Hint: The determinant of the coefficient matrix is -23.

Answer 1

Answer:

-4  option (c)

Step-by-step explanation:

Cramer rule : In this method, the values of the variables in the system are to be calculated using the determinants of matrices

if , D :determinant of the coefficient matrix

${D}_{x}:$determinant of the matrix with coefficients except x

then,

$x=\frac{{D}_{x}}{D}$

similarly,

$y=\frac{{D}_{y}}{D}$

$z=\frac{{D}_{z}}{D}$

given,

D = -23

$D_{y}$  =           $det\left[\begin{array}{ccc}5&7&-1\\2&6&-2\\3&-7&2\end{array}\right]$

$D_{y}$ = 92

therefore, y = 92/(-23)

   y = -4 answer

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