Advertisements
Advertisements
प्रश्न
For the equation 3x − 2𝑦 = 17, find the value of x when y = −1 and find the value of y when x = 3
उत्तर
Substituting y = – 1 in 3x – 2y = 17, we get
3x – 2(–1) = 17
∴ 3x + 2 = 17
∴ 3x = 17 – 2
∴ 3x = 15
∴ x = `15/3` = 5
Substituting x = 3 in 3x – 2y = 17, we get
3(3) – 2y = 17
∴ 9 – 2y = 17
∴ 2y = 9 – 17
∴ 2y = – 8
∴ y = `(-8)/2` = – 4
∴ The value of x is 5 when y = −1 and the value of y is – 4 when x = 3.
APPEARS IN
संबंधित प्रश्न
Solve the following systems of equations by eliminating ‘y’ (by substitution) :
7x + 11y – 3 = 0
8x + y – 15 = 0
Form the pair of linear equations for the following problem and find their solution by substitution method.
The coach of a cricket team buys 7 bats and 6 balls for ₹ 3800. Later, she buys 3 bats and 5 balls for ₹ 1750. Find the cost of each bat and each ball.
Solve the following systems of equations:
`(x + y)/(xy) = 2`
`(x - y)/(xy) = 6`
Solve the following systems of equations:
`15/u + 2/v = 17`
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:
`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:
2(3u − ν) = 5uν
2(u + 3ν) = 5uν
Solve the following systems of equations:
x − y + z = 4
x + y + z = 2
2x + y − 3z = 0
Solve the following systems of equations:
`4/x + 15y = 21`
`3/x + 4y = 5`
Solve the following systems of equations:
`5/(x - 1) + 1/(y - 2) = 2`
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 system of equations by eliminating ‘y’ (by substitution) :
3x – y = 3
7x + 2y = 20
Solve the following set of simultaneous equation.
2x + y = 5; 3x - y = 5
The solution of the equation 2x – y = 2 is ______
In the equation 2x – y = 2 if x = 3, then find y = ?
Ajay is younger than Vijay by 3 years. The sum of their ages is 25 years, what is the age of Ajay
For an A.P., t17 = 54 and t9 = 30 find the first term(a) and common difference(d)
3 chairs and 1 table cost ₹ 900; whereas 5 chairs and 3 tables cost ₹ 2,100. If the cost of 1 chair is ₹ x and the cost of 1 table is ₹ y, then the situation can be represented algebraically as ______.
The coach of a cricket team buys 4 bats and 1 ball for ₹ 2050. Later, she buys 3 bats and 2 balls for ₹ 1600. Find the cost of each bat and each ball.
