Advertisements
Advertisements
प्रश्न
Solve for x and y:
0.3x + 0.5y = 0.5, 0.5x + 0.7y = 0.74
उत्तर
The given system of equations is
0.3x + 0.5y = 0.5 …….(i)
0.5x + 0.7y = 0.74 …….(ii)
Multiplying (i) by 5 and (ii) by 3 and subtracting (ii) from (i), we get
2.5y - 2.1y = 2.5 - 2.2
⇒0.4y = 0.28
⇒y = `(0.28)/(0.4)` = 0.7
Now, substituting y = 0.7 in (i), we have
0.3x + 0.5 × 0.7 = 0.5
⇒0.3x = 0.50 – 0.35 = 0.15
⇒x =` (0.15)/(0.3)` = 0.5
Hence, x = 0.5 and y = 0.7.
APPEARS IN
संबंधित प्रश्न
Draw the graph of
(i) x – 7y = – 42
(ii) x – 3y = 6
(iii) x – y + 1 = 0
(iv) 3x + 2y = 12
Solve for x and y:
3x - 5y - 19 = 0, -7x + 3y + 1 = 0
For what value of k, the system of equations
x + 2y = 3,
5x + ky + 7 = 0
Have (i) a unique solution, (ii) no solution?
Also, show that there is no value of k for which the given system of equation has infinitely namely solutions
Find the value of k for which the system of linear equations has an infinite number of solutions:
5x + 2y = 2k,
2(k + 1)x + ky = (3k + 4).
The sum of the digits of a two-digit number is 12. The number obtained by interchanging its digits exceeds the given number by 18. Find the number.
A number consists of two digits. When it is divided by the sum of its digits, the quotient is 6 with no remainder. When the number is diminished by 9, the digits are reversed. Find the number.
The sum of a two-digit number and the number obtained by reversing the order of its digits is 121, and the two digits differ by 3. Find the number,
The area of a rectangle gets reduced by `8m^2`, when its length is reduced by 5m and its breadth is increased by 3m. If we increase the length by 3m and breadth by 2m, the area is increased by `74m^2`. Find the length and the breadth of the rectangle.
In a Δ ABC,∠A= x°,∠B = (3x × 2°),∠C = y° and ∠C - ∠B = 9°. Find the there angles.
If 12x + 17y = 53 and 17x + 12y = 63 then find the value of ( x + y)
