Advertisements
Advertisements
प्रश्न
Solve for x and y:
4x - 3y = 8, 6x - y = `29/3`
उत्तर
The given system of equation is:
4x - 3y = 8 ……(i)
6x - y = 293 ……(ii)
On multiplying (ii) by 3, we get:
18x – 3y = 29 ….(iii)
On subtracting (iii) from (i) we get:
-14x = -21
x= `21/14 = 3/2`
Now, substituting the value of x =`3/2 ` in (i), we get:
`4 xx 3/2 - 3y = 8`
⇒6 – 3y = 8
⇒3y = 6 – 8 = -2
y = `(-2)/3`
Hence, the solution x =`3/2 and y = (-2)/3`
APPEARS IN
संबंधित प्रश्न
In the following systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it:
kx + 2y - 5 = 0
3x + y - 1 = 0
Find the value of k for which the following system of equations has a unique solution:
x + 2y = 3
5x + ky + 7 = 0
Find the value of k for which each of the following system of equations have no solution :
3x - 4y + 7 = 0
kx + 3y - 5 = 0
Solve for x and y:
x + y = 3, 4x – 3y = 26
Solve for x and y:
3x - 5y - 19 = 0, -7x + 3y + 1 = 0
Solve for x and y:
`44/(x+y) + 30/(x−y) = 10, 55/(x+y) - 40/(x−y) = 13`
Find the value of k for which the system of equations has a unique solution:
4x - 5y = k,
2x - 3y = 12.
The length of a room exceeds its breadth by 3 meters. If the length is increased by 3 meters and the breadth is decreased by 2 meters, the area remains the same. Find the length and the breadth of the room.
A chemist has one solution containing 50% acid and a second one containing 25% acid. How much of each should be used to make 10 litres of a 40% acid solution?
Find the values of 'a' and 'b' for which the system of linear equations 3x + 4y = 12, (a + b)x + 2(a – b)y = 24 has infinite number of solutions.
