Advertisements
Advertisements
प्रश्न
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
13x+ 11y = 70
11x + 13y = 74
Advertisements
उत्तर
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
संबंधित प्रश्न
The value of expression mx - ny is 3 when x = 5 and y = 6. And its value is 8 when x = 6 and y = 5. Find the values of m and n.
Solve the following simultaneous equation :
8v - 3u = 5uv
6v - 5u = -2uv
Solve the following pairs of equations:
`(5)/(x + y) - (2)/(x - y)` = -1
`(15)/(x + y) + (7)/(x - y)` = 10.
Solve the following pairs of equations:
`(xy)/(x + y) = (6)/(5)`
`(xy)/(y - x)` = 6
Where x + y ≠ 0 and y - x ≠ 0
If 10y = 7x - 4 and 12x + 18y = 1 ; find the value of 4x + 6y and 8y - x.
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 ratio of two numbers is `(2)/(5)`. If 4 is added in first and 32 is subtracted from the second, the ratio becomes the reciprocal of the original ratio. Find the numbers.
If 1 is added to the denominator of a fraction, the fraction becomes `(1)/(2)`. If 1 is added to the numerator of the fraction, the fraction becomes 1. Find the fraction.
In a triangle, the sum of two angles is equal to the third angle. If the difference between these two angles is 20°, determine all the angles.
Anil and Sunita have incomes in the ratio 3 : 5. If they spend in the ratio 1 : 3, each saves T 5000. Find the income of each.
