Advertisements
Advertisements
प्रश्न
If x + y = 5 and x = 3, then find the value of y.
उत्तर
⇒ x+y=5 .....(1)
and x=3
substitute value of x in equation 1
3+y=5
y=5-3
⇒y=2
APPEARS IN
संबंधित प्रश्न
If the point (3, 2) lies on the graph of the equation 5x + ay = 19, then find a.
The difference of two natural numbers is 3 and the difference of their reciprocals is 3/28 . Find the numbers
Solve each of the following system of equations by eliminating x (by substitution) :
(i) x + y = 7
2x – 3y = 11
(ii) x + y = 7
12x + 5y = 7
(iii) 2x – 7y = 1
4x + 3y = 15
(iv) 3x – 5y = 1
5x + 2y = 19
(v) 5x + 8y = 9
2x + 3y = 4
Solve the following systems of equations by eliminating ‘y’ (by substitution) :
7x + 11y – 3 = 0
8x + y – 15 = 0
Solve the following pair of linear equations by the substitution method.
s – t = 3
`s/3 + t/2 = 6`
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 problems and find their solution by substitution method.
The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is ₹ 105 and for a journey of 15 km, the charge paid is ₹ 155. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of 25 km?
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.
Solve the following systems of equations:
`1/(5x) + 1/(6y) = 12`
`1/(3x) - 3/(7y) = 8, x ~= 0, y != 0`
Solve the following systems of equations:
`3/(x + y) + 2/(x - y) = 2`
`9/(x + y) - 4/(x - y) = 1`
Solve the following systems of equations:
x − y + z = 4
x + y + z = 2
2x + y − 3z = 0
Solve the following systems of equations:
`2(1/x) + 3(1/y) = 13`
`5(1/x) - 4(1/y) = -2`
Solve the following systems of equations:
`2/sqrtx + 3/sqrty = 2`
`4/sqrtx - 9/sqrty = -1`
Reena has pens and pencils which together are 40 in number. If she has 5 more pencils and
5 less pens, then the number of pencils would become 4 times the number of pens. Find the
original number of pens and pencils.
One says, “Give me a hundred, friend! I shall then become twice as rich as you.” The other replies, “If you give me ten, I shall be six times as rich as you.” Tell me what is the amount of their respective capital
Solve the following set of simultaneous equation.
3x - 5y = 16; x - 3y = 8
The solution of the equation x − y = 10 and x + y = 70 is ______
In the equation 2x – y = 2 if x = 3, then find y = ?
For the equation a + 2b = 7, find a when b = 4
For the equation 3x − 2𝑦 = 17, find the value of x when y = −1 and find the value of y when x = 3
