Advertisements
Advertisements
Question
Solve :
`4x + [ x - y ]/8 = 17`
`2y + x - [ 5y + 2 ]/3 = 2`
Advertisements
Solution
`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
RELATED QUESTIONS
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
13 + 2y = 9x
3y = 7x
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
`1/5( x - 2 ) = 1/4( 1 - y )`
26x + 3y + 4 = 0
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
13x+ 11y = 70
11x + 13y = 74
If 2x + y = 23 and 4x - y = 19; find the values of x - 3y and 5y - 2x.
If 10y = 7x - 4 and 12x + 18y = 1; find the values of 4x + 6y and 8y - x.
Solve the following simultaneous equations :
6x + 3y = 7xy
3x + 9y = 11xy
Solve the following simultaneous equation :
8v - 3u = 5uv
6v - 5u = -2uv
Solve the following simultaneous equations:
13a - 11b = 70
11a - 13b = 74
Solve the following pairs of equations:
y - x = 0.8
`(13)/(2(x + y)) = 1`
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.
