Advertisements
Advertisements
प्रश्न
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
3x - y = 23
`x/3 + y/4 = 4`
उत्तर
3x - y = 23 ...(1)
`x/3 + y/4 = 4`
4x + 3y = 48 ...(2)
Multiplying equation no. (1) by 3
9x - 3y = 69 ....(3)
Adding equation (3) and (2)
9x - 3y = 69
+ 4x + 3y = 48
13x = 117
x = 9
From (1)
3(9) - y = 23
∴ 27 - y = 23
∴ y = 27 - 23
∴ y = 4
APPEARS IN
संबंधित प्रश्न
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
13 + 2y = 9x
3y = 7x
Solve :
`[ 7 + x ]/5 - [ 2x - y ]/4 = 3y - 5`
`[5y - 7]/2 + [ 4x - 3 ]/6 = 18 - 5x`
Solve the following simultaneous equations :
6x + 3y = 7xy
3x + 9y = 11xy
Solve the following simultaneous equations:
103a + 51b = 617
97a + 49b = 583
If 10y = 7x - 4 and 12x + 18y = 1 ; find the value of 4x + 6y and 8y - x.
`(3)/x - (2)/y` = 0 and `(2)/x + (5)/y` = 19, Hence, find a if y = ax + 3.
If the following three equations hold simultaneously for x and y, find the value of 'm'.
2x + 3y + 6 = 0
4x - 3y - 8 = 0
x + my - 1 = 0
The length of a rectangle is twice its width. If its perimeter is 30 units, find its dimensions.
If 1 is added to the denominator of a fraction, the fraction becomes `(1)/(2)`. If 1 is added to the numerator of the fraction, the fraction becomes 1. Find the fraction.
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).