Advertisements
Advertisements
प्रश्न
Solve the following systems of equations:
11x + 15y + 23 = 0
7x – 2y – 20 = 0
उत्तर
The given system of equation is
11x + 15y + 23 = 0 .........(i)
7x - 2y - 20 = 0 ...(ii)
From (ii), we get
2y = 7x - 20
`=> y = (7x - 20)/2`
Substituting y = `(70x - 20)/2` in (i) we get
`11x + 15((7x - 20)/2) + 23 = 0`
`=> 11x + (105x - 300)/2 + 23 = 0`
`=> (22x + 105x - 300 + 46)/2 = 0`
`=> 127x - 254 = 0`
=> 127x = 254
`> x = 254/127 = 2`
Putting 2 x = 2 in y = `(7x - 20)/2` we get
`=> y = (7xx2-20)/2`
`= (14-20)/2`
`= -6/2`
= -3
Hence, the solution of the given system of equations is x = 2, y = -3
APPEARS IN
संबंधित प्रश्न
Solve the following pair of linear equations by the substitution method.
3x – y = 3
9x – 3y = 9
Form the pair of linear equations for the following problem and find their solution by substitution method.
The difference between two numbers is 26 and one number is three times the other. Find them.
Form the pair of linear equations for the following problem and find their solution by substitution method.
Five years hence, the age of Jacob will be three times that of his son. Five years ago, Jacob’s age was seven times that of his son. What are their present ages?
Solve the following systems of equations:
3x − 7y + 10 = 0
y − 2x − 3 = 0
Solve the following systems of equations:
`2/x + 5/y = 1`
`60/x + 40/y = 19, x = ! 0, y != 0`
Solve the following systems of equations:
`2/x + 3/y = 9/(xy)`
`4/x + 9/y = 21/(xy), where x != 0, y != 0`
Solve the following systems of equations:
`4/x + 15y = 21`
`3/x + 4y = 5`
The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectively ______.
Two numbers are in the ratio 5 : 6. If 8 is subtracted from the numbers, the ratio becomes 4 : 5. Find the numbers.
There are some students in the two examination halls A and B. To make the number of students equal in each hall, 10 students are sent from A to B. But if 20 students are sent from B to A, the number of students in A becomes double the number of students in B. Find the number of students in the two halls.
