Advertisements
Advertisements
प्रश्न
Solve the following simultaneous equations :
2(3u - v) = 5uv
2(u + 3v) = 5uv
Advertisements
उत्तर
2(3u - v) = 5uv
2(u + 3v) = 5uv
2(3u - v) = 5uv
⇒ 6u - 2v = 5uv
⇒ `(6)/v - (2)/u` = 5..........(1)
2(u + 3v) = 5uv
⇒ 2u + 6v = 5uv
⇒ `(2)/u + (6)/v` = 5........(2)
Multiplying equation (1) by 3, we get,
`(18)/v - (6)/u` = 15..........(3)
Adding (2) and (3),
`(20)/v` = 20
⇒ v = 1
∴ `(6)/u`
= `5 - (2)/(1)`
= 3
⇒ u = `(6)/(3)`
= 2
Thus, the solution set is (2, 1).
APPEARS IN
संबंधित प्रश्न
For solving pair of equation, in this exercise use the method of elimination by equating coefficients:
y = 2x - 6; y = 0
If 10y = 7x - 4 and 12x + 18y = 1; find the values of 4x + 6y and 8y - x.
10% of x + 20% of y = 24
3x - y = 20
Solve :
`[ 7 + x ]/5 - [ 2x - y ]/4 = 3y - 5`
`[5y - 7]/2 + [ 4x - 3 ]/6 = 18 - 5x`
Solve :
`4x + [ x - y ]/8 = 17`
`2y + x - [ 5y + 2 ]/3 = 2`
If 10y = 7x - 4 and 12x + 18y = 1 ; find the value of 4x + 6y and 8y - x.
`4x + 6/y = 15 and 6x - 8/y = 14.` Hence, find a if y = ax - 2.
Salman and Kirti start at the same time from two places 28 km apart. If they walk in the same direction, Salman overtakes Kirti in 28 hours but if they walk in the opposite directions, they meet in 4 hours. Find their speeds (in km/h).
A solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing 9% alcohol. How much of each solution should be used?
Sunil and Kafeel both have some oranges. If Sunil gives 2 oranges to Kafeel, then Kafeel will have thrice as many as Sunil. And if Kafeel gives 2 oranges to Sunil, then they will have the same numbers of oranges. How many oranges does each have?
