Mathematics
Assertion (A): Solution of 217x + 131y = 913 and 131x + 217y = 827 is x = 3, y = 2. Reason (R): To solve equations of the type ax + by = c and bx + ay = d where a ≠ b, we add them to obtain x + y = c + d/a + b and subtract them to obtain x - y = c - d/a - b . 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true. 4. Both A and R are false.
Related Questions
Assertion (A): A moving boat goes downstream at 50 km per hour and upstream at 30 km per hour. The speed of stream is 40 km per hour.
Reason (R): If the speed of boat in still water is x km per hour and speed of stream is y km per hour, then y - x = 50 and y + x = 30 ⇒ y = 40.
- A is true, R is false.
- A is false, R is true.
- Both A and R are true.
- Both A and R are false.
Assertion (A):
4x= 8y x 160
⇒ 2x = 3yReason (R):
4x= 8y x 160
⇒ 22x = 23y
⇒ 2x = 3y
and 2x - 3y = 0- A is true, R is false.
- A is false, R is true.
- Both A and R are true.
- Both A and R are false.