Advertisements
Advertisements
प्रश्न
Solve for x and y:
2x + 3y = 0, 3x + 4y = 5
उत्तर
The given system of equation is:
2x + 3y = 0 ……(i)
3x + 4y = 5 ……(ii)
On multiplying (i) by 4 and (ii) by 3, we get:
8x + 12y = 0 ……(iii)
9x + 12y = 15 …….(iv)
On subtracting (iii) from (iv) we get:
x = 15
On substituting the value of x = 15 in (i), we get:
30 + 3y = 0
⇒3y = -30
⇒y = -10
Hence, the solution is x = 15 and y = -10.
APPEARS IN
संबंधित प्रश्न
The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.
Find the value of k for which each of the following system of equations has infinitely many solutions :
2x + (k - 2)y = k
6x + (2k - 1)y - (2k + 5)
Determine the values of a and b so that the following system of linear equations have infinitely many solutions:
(2a - 1)x + 3y - 5 = 0
3x + (b - 1)y - 2 = 0
Solve for x and y:
x – y = 3, `x/3 + y/2` = 6
Solve for x and y:
4x - 3y = 8, 6x - y = `29/3`
Solve for x and y:
6(ax + by) = 3a + 2b,
6(bx – ay) = 3b – 2a
A two-digit number is such that the product of its digits is 35. If 18 is added to the number, the digits interchange their places. Find the number.
The larger of the two supplementary angles exceeds the smaller by 1800 . Find them.
Find the value(s) of p in (i) to (iv) and p and q in (v) for the following pair of equations:
2x + 3y – 5 = 0 and px – 6y – 8 = 0,
if the pair of equations has a unique solution.
Find the values of 'a' and 'b' for which the system of linear equations 3x + 4y = 12, (a + b)x + 2(a – b)y = 24 has infinite number of solutions.
