## Solve the following word problems.

Solution: 2. Kantabai bought kg tea and 5 kg sugar from a shop. She paid Rs 50 as return fare for rickshaw. Total expense was Rs 700. Then she realised that by ordering online the goods can be bought with free home delivery at the same price. So next month she placed the order online for […]

## Solve the following simultaneous equations.

Solution: Solution: Solution: Solution: Solution:

## Solve the following equations by Cramer’s method.

(1) 6x – 3y = –10; 3x + 5y – 8 = 0 Solution: (2) 4m – 2n = –4; 4m + 3n = 16 Solution: Solution: ∴ (x, y) = (1/2, -1/2) (4) 7x + 3y = 15; 12y – 5x = 39 Solution: Solution:

## Find the values of each of the following determinants.

Solution: Given = (4 × 7) – (3 × 2) = 28 – 6 = 22 Solution: GivenD = Solution: Given

## Solve the following simultaneous equation graphically.

(1) 2x + 3y = 12; x – y = 1 Solution: Given2x + 3y = 12Substitute the values for x as shown in the table x 0 6 3 y 4 0 2 Consider x – y = 1 x 1 0 2 y 0 -1 1 Now plot the graph as shown below: […]

## Complete the following table to draw the graph of 2x – 6y = 3

Solution: Put x = –5, then2 × -5 – 6y = 3⇒ 3 + 10 = -6yy = -13/6Put y = 0, then2x – 0 = 3x = 3/2 x -5 3/2 y -13/6 0 (x, y) (-5, -13/6) (3/2, 0) Where A = (-5, -13/6) and B = (3/2,0)

Solution:D. 1Explanation:

## Choose correct alternative for each of the following question

Solution:B. 3Explanation: 2. For simultaneous equations in variables x and y, DX = 49, DY = –63, D = 7, then what is x?A. 7B. –7C. 1/7D. -1/7 Solution:A. 7Explanation: Solution:D. 1Explanation: 4. To solve x + y = 3; 3x–2y – 4 = 0 by determinant method find D.A. 5B. 1C. –5D. –1 Solution:C. -5Explanation: 5. ax + […]