Advertisements
Advertisements
प्रश्न
If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively ______.
विकल्प
3 and 5
5 and 3
3 and 1
–1 and –3
उत्तर
If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively 3 and 1.
Explanation:
Since x = a and y = b is the solution of the equations
x – y = 2 and x + y = 4
So a – b = 2 ...(i)
and a + b = 4 ...(ii)
On adding (i) and (ii), we get
2a = 6
⇒ a = 3
Substitute value of a in equation (i)
⇒ 3 – b = 2
⇒ b = 1
APPEARS IN
संबंधित प्रश्न
Find the values of a and b for which the following system of equations has infinitely many solutions:
2x + 3y = 7
(a - 1)x + (a + 2)y = 3a
Solve for x and y:
`44/(x+y) + 30/(x−y) = 10, 55/(x+y) - 40/(x−y) = 13`
Solve for x and y:
`5/x + 2/y = 6, (−5)/x + 4/y = -3`
Find the value of k for which the system of equations has a unique solution:
2x + 3y = 5,
kx - 6y = 8
For what value of k, the system of equations
x + 2y = 5,
3x + ky + 15 = 0
has (i) a unique solution, (ii) no solution?
Find the values of a and b for which the system of linear equations has an infinite number of solutions:
2x + 3y = 7, (a + b + 1)x - (a + 2b + 2)y = 4(a + b) + 1.
The present age of a man is 2 years more than five times the age of his son. Two years hence, the man’s age will be 8 years more than three times the age of his son. Find their present ages.
Find the value of k for which the system of linear equations has an infinite number of solutions.
2x + 3y=9,
6x + (k – 2)y =(3k – 2
If `2 /x + 3/y = 9/(xy) and 4/x + 9/y = 21/(xy)` find the values of x and y.
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.
