Advertisements
Advertisements
Question
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
13x+ 11y = 70
11x + 13y = 74
Advertisements
Solution
13x + 11y = 70 ...(1)
11x + 13y = 74 ...(2)
Adding (1) and (2)
13x + 11y = 70
+ 11x + 13y = 74
24x + 24y = 144
Dividing by 24,
x + y = 6 ....(3)
Subtracting (2) from (1)
13x + 11y = 70
- 11x + 13y = 74
- - -
2x - 2y = - 4
Dividing by 2
x - y = - 2 ....(4)
Adding equation (3) and (4)
x - y = - 2
+ x + y = 6
2x = 4
x = 2
From (3)
2 + y = 6
y = 4
APPEARS IN
RELATED QUESTIONS
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
3x - y = 23
`x/3 + y/4 = 4`
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`
For solving pair of equation, in this exercise use the method of elimination by equating coefficients:
y = 2x - 6; y = 0
Solve the following simultaneous equations :
6x + 3y = 7xy
3x + 9y = 11xy
Solve the following simultaneous equations :
3(2u + v) = 7uv
3(u + 3v) = 11uv
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 pairs of equations:
`(x + y)/(xy)` = 2
`(x - y)/(xy)` = 6
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 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.
