Maharashtra Board Solutions for Chapter: Linear Equations in Two Variables, Exercise 3: Practice Set

Find the values of following determinants.

$\left|\begin{array}{cc}5& 3\\ -7& 0\end{array}\right|$

Find the values of following determinants.

$\left|\begin{array}{cc}\frac{7}{3}& \frac{5}{3}\\ \frac{3}{2}& \frac{1}{2}\end{array}\right|$

Solve the following simultaneous equations using Cramer’s rule.

$3x - 4y = 10 ; 4x + 3y = 5$

Solve the following simultaneous equations using Cramer’s rule.

$4x + 3y - 4 = 0 ; 6x = 8 - 5y$

Solve the following simultaneous equations using Cramer’s rule.

$x + 2y = -1 ; 2x - 3y = 12$

Solve the following simultaneous equations using Cramer’s rule.

$6x - 4y = -12 ; 8x - 3y = -2$

Solve the following simultaneous equations using Cramer’s rule.

$4m + 6n = 54 ; 3m + 2n = 28$

Solve the following simultaneous equations using Cramer’s rule.

$2x + 3y = 2 ; x - \frac{y}{2} = \frac{1}{2}$