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Syllabus

6/x + 25/y= 2

3/x + 4y = 7

5/x + 6y = 13

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.

2x-3y=20

Solve by cross multiplication method

2/x - 1/y = 1

Solve by reducing them to pairs of linear equations

Please explain the steps...

5x-3y=2

4x+7y=-3

Experts please answer it urgent.

0.2x + 0.1y = 25

2 (x - 2) - 1.6y = 116

Plz solve this question by linear equations.

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

Find x & y

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.

Y plus 10 equals to 2(x minus 10)

4x - 3y = -1

Find p, if y = px - 3

Linear Equations by substitutional 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.

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}2y + x - 5y/3 + ? = 2

Solve by elimination method

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.

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.]Q. 2x + 3y = 17

3x - 2y = 6

The below question is shared from the chapter simultaneous linear equation ..l understood the solution but l kind a confused in the highlited pink portion

I am getting confused because when we found the value of y after solving by substitution we got the value as m - n ..but when they are substituting the value in the equation so they putting the value as 2m - m + n why cant it be 2m - m- n if the value of y is m - n

Please resolve it teacher

Hope l made the doubt is clear

I would be highly grateful to you

DR=d

No links, please.....

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

11x+13y=74

Method of elimination by equating coefficient

Pls help me solve this by using method elimination

Thank you

Answer :x=2a and y=-2b

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

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.