Advertisements
Advertisements
प्रश्न
Solve for x and y:
4x = 17 - `[ x - y ]/8`
2y + x = 2 + `[ 5y + 2 ]/3`
Advertisements
उत्तर
The given pair of linear equations are
4x = 17 - `[ x - y ]/8`
⇒ 33x - y = 136 ...(1) [On Simplifying]
2y + x = 2 + `[ 5y + 2 ]/3`
⇒ 3x + y = 8 ...(2) [On Simplifying]
Multiply equation (2) by 11, we get,
33x + 11y = 88 ...(3)
Subtracting equation (1) from (3)
33x + 11y = 88
- 33x - y = 136
- + -
12y = - 48
y = -4
Substituting y = -4 in equation (1), we get:
33x - (-4) = 136
⇒ 33x = 132
⇒ x = 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 :
13 + 2y = 9x
3y = 7x
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
3 - (x - 5) = y + 2
2 (x + y) = 4 - 3y
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
41x + 53y = 135
53x + 41y = 147
Solve for x and y :
`[ y + 7 ]/5 = [ 2y - x ]/4 + 3x - 5`
`[ 7 - 5x ]/2 + [ 3 - 4y ]/6 = 5y - 18`
Find the value of m, if x = 2, y = 1 is a solution of the equation 2x + 3y = m.
Solve the following simultaneous equation :
8v - 3u = 5uv
6v - 5u = -2uv
Solve the following simultaneous equations :
2(3u - v) = 5uv
2(u + 3v) = 5uv
Solve the following pairs of equations:
`(2)/x + (3)/y = (9)/(xy)`
`(4)/x + (9)/y = (21)/(xy)`
Where x ≠ 0, y ≠ 0
Solve the following pairs of equations:
`(xy)/(x + y) = (6)/(5)`
`(xy)/(y - x)` = 6
Where x + y ≠ 0 and y - x ≠ 0
`4x + 6/y = 15 and 6x - 8/y = 14.` Hence, find a if y = ax - 2.
