Short Answer TypeSolve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y = mx + 3.
Form the pair of linear equations for the following problems and find their solution by substitution method.
The coach of a cricket team buys 7 bats and 6 balls for ` 3800. Later, she buys 3 bats and 5 balls for ` 1750. Find the cost of each bat and each ball.
Form the pair of linear equations for the following problems and find their solution by substitution method.
The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is ` 105 and for a journey of 15 km, the charge paid is ` 155. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of 25 km?
Form the pair of linear equations for the following problems and find their solution by substitution method.
A fraction becomes 
, if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes 
. Find the fraction.
Thus, we have following equations
11x - 9y = -4 ...(i)
6x - 5y = -3 ...(ii)
From (ii), we have
6x - 5y=-3
Substituting the value of (iii) in (i), we get
Now, substituting the value ofy in (iii), we get
Hence, the required fraction.
Form the pair of linear equations for the following problems 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 pair of linear equations by the elimination method and the substitution method
x + y = 5 and 2x - 3y = 4
Verify that the following system of equations has a unique solution and find the solution
ax + by + m = 0; ax - cy - n = 0
Switch
