Advertisements
Advertisements
प्रश्न
If (2, −5) is the solution of the equation 2x − ky = 14, then find k = ?
उत्तर
(2, – 5) is the solution of 2x – ky = 14.
Substituting x = 2, y = – 5 in 2x – ky = 14, we get
2(2) – k(– 5) = 14
∴ 4 + 5k = 14
∴ 5k = 14 – 4 = 10
∴ k = `10/5` = 2
APPEARS IN
संबंधित प्रश्न
Solve the following pair of linear equations by the substitution method.
s – t = 3
`s/3 + t/2 = 6`
Solve the following pair of linear equations by the substitution method.
0.2x + 0.3y = 1.3
0.4x + 0.5y = 2.3
Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y = mx + 3.
Form the pair of linear equations for the following problem and find their solution by substitution method.
The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.
Form the pair of linear equations for the following problem and find their solution by substitution method.
A fraction becomes `9/11` if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes `5/6`. Find the fraction.
Form the pair of linear equations for the following problem and find their solution by substitution method.
Five years hence, the age of Jacob will be three times that of his son. Five years ago, Jacob’s age was seven times that of his son. What are their present ages?
Solve the following systems of equations:
11x + 15y + 23 = 0
7x – 2y – 20 = 0
Solve the following systems of equations:
`1/(2(x + 2y)) + 5/(3(3x - 2y)) = (-3)/2`
`5/(4(x + 2y)) - 3'/(5(3x - 2y)) = 61/60`
Solve the following systems of equations:
x + y = 5xy
3x + 2y = 13xy
Solve the following systems of equations:
99x + 101y = 499
101x + 99y = 501
Solve the following system of equations by eliminating ‘y’ (by substitution) :
3x – y = 3
7x + 2y = 20
Solve the following set of simultaneous equation.
2x + 3y + 4 = 0; x − 5y = 11
Solve the following set of simultaneous equation.
2x - 7y = 7; 3x + y = 22
Find the solution of the pair of the equation :
`3/x + 8/y = - 1; 1/x - 2/y = 2`, x, y ≠ 0
Complete the table to draw the graph of 2x – 3y = 3,
| x | − 6 | `square` |
| y | `square` | 1 |
| (x, y) | `square` | `square` |
In the equation 2x – y = 2 if x = 3, then find y = ?
Using variables a and b write any two equations whose solution is (0, 2).
A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train was slower by 6 km/h it would have taken 6 hours more than the scheduled time. Find the length of the journey.
The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages of the son and the father are, respectively.
