Advertisements
Advertisements
प्रश्न
Solve the following simultaneous equations:
103a + 51b = 617
97a + 49b = 583
Advertisements
उत्तर
The given equations are
103a + 51b = 617 ....(i)
97a + 49b = 583 ....(ii)
Subtracting eqn. (ii) from (i). we get
6a + 2b = 34
⇒ 3a + b = 17 ....[Dividing throughtout by 2] ....(iii)
200a + 100b = 1200
⇒ 2a + b = 12 ...[Dividing throughtout by 100] ....(iv)
Subtracting eqn. (iv) from eqn. (iii), we get
a = 5
Substituting the value of an in eqn. (iii), we get
3(5) + b = 17
⇒ 15 + b = 17
⇒ b = 2
Thus, the solution set is (5,2).
APPEARS IN
संबंधित प्रश्न
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
13 + 2y = 9x
3y = 7x
For solving pair of equation, in this exercise use the method of elimination by equating coefficients:
y = 2x - 6; y = 0
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
3 - (x - 5) = y + 2
2 (x + y) = 4 - 3y
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
2x − 3y − 3 = 0
`[2x]/3 + 4y + 1/2` = 0
10% of x + 20% of y = 24
3x - y = 20
Can the following equations hold simultaneously?
7y - 3x = 7
5y - 11x = 87
5x + 4y = 43
If yes, find the value of x and y.
The length of a rectangle is twice its width. If its perimeter is 30 units, find its dimensions.
In a two-digit number, the sum of the digits is 7. The difference of the number obtained by reversing the digits and the number itself is 9. Find the number.
A person goes 8 km downstream in 40 minutes and returns in 1 hour. Determine the speed of the person in still water and the speed of the stream.
Sunil and Kafeel both have some oranges. If Sunil gives 2 oranges to Kafeel, then Kafeel will have thrice as many as Sunil. And if Kafeel gives 2 oranges to Sunil, then they will have the same numbers of oranges. How many oranges does each have?
