Advertisements
Advertisements
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`
Advertisements
उत्तर
The given pair of linear equations are
`[5y]/2 - x/3 = 8`
⇒ `- x/3 + [5y]/2 = 8` .....(1) [ On Similifying ]
`y/2 + [5x]/3 = 12`
⇒ `[5x]/3 + y/2 = 12` .....(2) [ On Similifying ]
Multiply equation (1) by 5, we get
` -[5x]/3 + [25y]/2 = 40` ......(3)
Adding equation (3) and (2)
` -[5x]/3 + [25y]/2 = 40`
+ `[5x]/3 + y/2 = 12`
`[26y]/2 = 52`
⇒ 13y = 52
⇒ y = 4
Substituting y = 4 in equation (1), We get
`- x/3 + [5(4)]/2 = 8`
⇒ `-x/3 = 8 - 10`
⇒ x = 6
∴ Solution is x = 6 and y = 4.
APPEARS IN
संबंधित प्रश्न
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
Solve the following simultaneous equations :
2(3u - v) = 5uv
2(u + 3v) = 5uv
Solve the following simultaneous equations:
41x + 53y = 135
53x + 41y = 147
Solve the following simultaneous equations:
65x - 33y = 97
33x - 65y = 1
Solve the following pairs of equations:
`(3)/(2x) + (2)/(3y)` = 5
`(5)/x - (3)/y` = 1
`(3)/x - (2)/y` = 0 and `(2)/x + (5)/y` = 19, Hence, find a if y = ax + 3.
The sum of a two-digit number and the number obtained by reversing the digits is 110 and the difference of two digits is 2. Find the number.
Seven more than a 2-digit number is equal to two less than the number obtained by reversing the digits. The sum of the digits is 5. Find the number.
The present ages of Kapil and Karuna are in the ratio 2 : 3. Six years later, the ratio will be 5 : 7. Find their present ages.
A boat goes 18 km upstream in 3 hours and 24 km downstream in 2 hours. Find the speed of the boat in still water and the speed of the stream.
