Question

8. What must be added to 6x5 +5x4 +11x3 −3x2 + x+5 so that it may be exactly divisible by 3x2−2 + 4
9. Solve the following system of equation graphically.
x + 2y = 1, x – 2y = -7, also read the points from the graph where the lines meet the x-axis and y-axis.
10. Solve 23x – 29y = 98 and 29x – 23y = 110.
11. A man has only 20 paisa coins and 25 paisa coins in his purse. If he has 50 coins in all totaling Rs 11.25. How many coins of each kind does he have?
12. A says to B “my present age is five times your that age when I was an old as you are now. If the sum of their present ages is 48 years, find their present ages.
13. A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours it can go 40 km upstream and 55 km downstream. Determine the speed of the stream and that of the boat in still water.
14. For what value of ‘α ’the system of linear equations α .x + 3y = α - 3, 12x +α y =α has no solution.

Answer 1

Answer:

8) 6×5+5×4+11×3-3×2+5+x=30+20+33-6+5+x=35+53-6+x=88-6+x=82+x eq1

3×2-2+4=6-2+4=4+4=8 eq2

eq1/eq2 if exactly divisible=82+x/8

So, x=6

Answer 2

Answer:

x is 6

Step-by-step explanation:

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