Q6 of 186 Page 4

Solve for x and y the following system of equations:


Given pair of linear equations is


…(i)


And …(ii)


On multiplying Eq. (i) by 3 to make the coefficients equal of second term, we get the equation as


…(iii)


On adding Eq. (ii) and Eq. (iii), we get





⇒ x – 1 = 3


⇒ x = 3 + 1


⇒ x = 4


On putting the value of x = 4 in Eq. (ii), we get






⇒ (y – 2) = 3


⇒ y = 3 + 2


⇒ y = 5


Hence, x = 4 and y = 5 , which is the required solution.


More from this chapter

All 186 →
6

Solve for x and y the following system of equations:


 6

Solve for x and y the following system of equations:


 7

Form the pair of linear equations for the following problems and find their solution by elimination method:

Aftab tells his daughter, "seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be." Find their present ages.

 7

Form the pair of linear equations for the following problems and find their solution by elimination method:

Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?