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Syllabus

2/x - 1/y = 1

Solve by reducing them to pairs of linear equations

Please explain the steps...

Q. The sides of an equilateral triangle are (6x + 3y) cm, (8x + 9y - 5) cm and (10x + 12y - 8) respectively. Find the length of each side.

[

Hint.Take 6x + 3y = 8x + 9y - 5 and 8x + 9y - 5 = 10x + 12y - 8 as two equations.]Help plz

Plz solve this question by linear equations.

Take no. of customers as 'x' & no. of lines as 'y'.

Find x & y

30. A boat sails a distance of 44 km in 4 hours with the current. It takes 4 hours 48minute longer to cover the same distance against the current. Find the speed of boat on still water and the speed of the current.

Answer: 5i-x=2,y=1,5ii-x=?&y=5/4

0.2x + 0.1y = 25

2 (x - 2) - 1.6y = 116

x - 2x/3 + y/3 = 1

Solve by elimination method

Please tell question no.9

Q9. The ratio of two numbers is $\frac{2}{3}$. If 2 is subtracted from the first and 8 from the second, the ratio becomes the reciprocal of the original ratio. Find the numbers.

1=> 0.4x-1.5y=6.5

0.3x+0.2y=0.9

2=> ?2x - ?3y=0

?5x + ?2y=0

(27/8)

^{2/3}- (1/4)^{-2}+ 5^{0}DR=d

No links, please.....

3/x + 4y = 7

5/x + 6y = 13

Q. 2x + 3y = 17

3x - 2y = 6

4x - 3y = -1

Find p, if y = px - 3

Linear Equations by substitutional method

1= The sum of two no.s is 8 and the sum of their reciprocals is 8/15.Find the no.

2=The difference between 2 positive no.s x and y(x>y)is 4 and the difference between their reciprocals is 4/21.Find the no.s

3= The sum of the digits of a two digit no.7.If the digits are reversed, the new no.decreased by 2,equals twice the original no. Find the no.

33. A man travels 600km partly by train and partly by car. If he covers 120km by train and the next by car, it takes him 8 hours. But, if he travels 200km by train and the rest by car he takes 20 minutes longer. Find the speed of the car and that of the train.

$40.\mathrm{Solve}:\frac{15}{\mathrm{u}}+\frac{2}{\mathrm{v}}=17\mathrm{and}\frac{1}{\mathrm{u}}+\frac{1}{\mathrm{v}}=\frac{36}{5}$

11x+13y=74

Method of elimination by equating coefficient

2x-3y+6=0

2x+3y-18=0

Q.48. 8 men and 12 boys can finish a work in 10 days while 6 men and 8 boys can finish the same work in 14 days. Find the time taken by 1 man and that 1 boy alone to finish the work.

3/x + 4y =7. 5/x + 6y =13

5x+y=9

Using substitution method

Q. 8 The lengths of the sides of the triangle are given in centimetres as:

$\left(2x+\frac{y}{2}\right),\left(\frac{2x}{3}+2y+\frac{5}{2}\right)and\left(y+\frac{5x}{3}+\frac{1}{2}\right).$

If the triangle is equilateral, prove that the triangle whose sides are (2xy+1), (2x+1) and (6y+1) cm each is also equilateral.