Question

using Cramer's rule what is the value of x in the solution to the system of linear equations below?2/5x+1/4y=9/202/3x+5/12y=3/4

Answer 1

d

Explanation

its the correct answer

Answer 2

We have the following:

the system of linear equations is

`\begin{gathered} (2)/(5)x+(1)/(4)y=(9)/(20) \\ (2)/(3)x+(5)/(12)y=(3)/(4) \end{gathered}`

now, using Cramer's rule

To solve for Cramer's rule the first thing is to calculate the determinant of the matrix

`\begin{bmatrix}{a_(11)} & {a_(12)} & {} \\ {a_(21)} & {a_(22)} & \end{bmatrix}=a_(11)\cdot a_(22)-a_(12)\cdot a_(21)`

replacing:

`\begin{gathered} =(2)/(5)\cdot(5)/(12)-(1)/(4)\cdot(2)/(3) \\ =(2)/(12)-(2)/(12) \\ =0 \end{gathered}`