Advertisements
Advertisements
प्रश्न
Solve :
`4x + [ x - y ]/8 = 17`
`2y + x - [ 5y + 2 ]/3 = 2`
Advertisements
उत्तर
`4x + [ x - y ]/8 = 17` (Given)
⇒ 32x + x - y = 136
⇒ 33x - y = 136 ......(1)
`2y + x - [ 5y + 2 ]/3 = 2` (Given)
⇒ 6y + 3x - 5y - 2 = 6
⇒ 3x + y = 8 .......(2)
Adding equations (1) and (2), we get
33x - y = 136
+ 3x + y = 8
36x = 144
x = 4
Substituting x = 4 in equation (2), We get
3 x 4 + y = 8
⇒ 12 + y = 8
⇒ y = 8 - 12
⇒ y = - 4
∴ Solution is x = 4 and y = - 4
APPEARS IN
संबंधित प्रश्न
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
`[5y]/2 - x/3 = 8`
`y/2 + [5x]/3 = 12`
Find the value of m, if x = 2, y = 1 is a solution of the equation 2x + 3y = m.
10% of x + 20% of y = 24
3x - y = 20
Solve :
11(x - 5) + 10(y - 2) + 54 = 0
7(2x - 1) + 9(3y - 1) = 25
Solve the following simultaneous equation :
8v - 3u = 5uv
6v - 5u = -2uv
Solve the following simultaneous equations :
3(2u + v) = 7uv
3(u + 3v) = 11uv
Solve the following simultaneous equations:
103a + 51b = 617
97a + 49b = 583
Solve the following pairs of equations:
`(3)/x - (1)/y` = -9
`(2)/x + (3)/y` = 5
Solve the following pairs of equations:
`(x + y)/(xy)` = 2
`(x - y)/(xy)` = 6
The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes `(1)/(2)`. Find the fraction.
