Respuesta :
Answer:
The value of y is 1
Step-by-step explanation:
Given the system of linear equations
2x-y=3
5x-2y=8
we have to find the value of y using cramer’s rule
Cramer’s Rule is a method that uses determinants to solve the systems of equations that have same number of equations as that of variables.
The coefficient matrix is
[tex]D=\begin{bmatrix}2&-1\\5&-2\end{bmatrix}[/tex]
[tex]|D|=\begin{vmatrix}2&-1\\5&-2\end{vmatrix}=-4(-5)=-4+5=1[/tex]
For Y-matrix
[tex]D_y=\begin{bmatrix}2&3\\5&8\end{bmatrix}[/tex]
[tex]|D_y|=\begin{vmatrix}2 & 3\\5 & 8\end{vmatrix}=16-15=1[/tex]
By cramer's rule
[tex]y=\frac{|D_y|}{|D|}=\frac{1}{1}=1[/tex]
Hence, value of y is 1
