Maharashtra Board Solutions for Chapter: Matrices, Exercise 4: Exercise 2.3

Solve the following equations by inversion method.

$2x+6y=8, x+3y=5$

Solve the following equations by the reduction method.

$2x+y=5$, $3x+5y=-3$

Solve the following equations by the reduction method.

$x+3y=2$, $3x+5y=4$

Solve the following equations by the reduction method.

$3x-y=1$, $4x+y=6$

Solve the following equations by the reduction method.

$5x+2y=4$, $7x+3y=5$

The cost of $4$ pencils, $3$ pens and $2$ erasers is $₹60$ . The cost of $2$ pencils, $4$ pens and 6 erasers is $₹90$ , whereas the cost of $6$ pencils, $2$ pens and 3 erasers is$₹70$ . Find the cost of each item by using matrices.

If three numbers are added, their sum is '$2$'. If $2$ times the second number is subtracted from the sum of first and third number we get '$8$' and if three times the first number is added to the sum of second and third number we get '$4$'. Find the numbers using matrices.

The total cost of $3$ televisions and $2 V.C.R.s$ is $₹ 35000.$ The shop-keeper wants profit of  $₹ 1000$ per television and $₹ 500$ per $V.C.R.$ He can sell $2$ televisions and $1 V.C.R.$  and he gets the total revenue as $₹ 21,500.$ Find the cost and the selling price of a television and a $V.C.R.$