Question

Solve the equation with the help of Cramer's rule: 5x - 2y = 1 ; 2x - y = 0​

Answer 1

Answer:

i hope u understand this sol

Answer 2

Answer:

x =1 and y =2

Step-by-step explanation:

Given,

the linear equations are  5x - 2y = 1 ; 2x - y = 0​

Using Cramers rule, find the determinant of the coefficient

matrix,

$D = \left|\begin{array}{ccc}5&-2\\2&-1\\\end{array}\right|$

Find the determinant of x coefficient matrix,

$D_x = \left|\begin{array}{ccc}1&-2\\0&-1\\\end{array}\right|$

Similarly, find the determinant of y coefficient matrix,

$D_y = \left|\begin{array}{ccc}5&1\\2&0\\\end{array}\right|$

Applying Cramer's rule,

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

∴ $x = \frac{-1}{-1} =1$

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

∴ $y= \frac{-2}{-1} =2$

Therefore, x =1 and y =2