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
Draw a graph of the line x – 2y = 3. From the graph, find the coordinates of the point when (i) x = – 5 (ii) y = 0.
Determine the values of a and b so that the following system of linear equations have infinitely many solutions:
(2a - 1)x + 3y - 5 = 0
3x + (b - 1)y - 2 = 0
Solve for x and y:
`5/x + 6y = 13, 3/x + 4y = 7`
Solve for x and y:
71x + 37y = 253, 37x + 71y = 287
Solve for x and y:
`(bx)/a + (ay)/b = a^2 + b^2, x + y = 2ab`
The sum of two numbers is 137 and their differences are 43. Find the numbers.
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?
If 15x + 17y = 21 and 17x + 15y = 11, then find the value of x + y.
If 2x + y = 23 and 4x – y = 19, find the values of 5y – 2x and `y/x` – 2.
The condition for the system of linear equations ax + by = c; lx + my = n to have a unique solution is ______.
