Q1 of 71 Page 68

Solve the following pairs of linear equations:

3x + y ≠ 0, 3x – y ≠ 0



Putting these value in given equations, we get




So, the given equations transforms into linear equation in two variables i.e.


4a + 4b = 3 … (i)


4a – 4b = 1 …..(ii)


Add (i) and (ii),


4a + 4b + 4a – 4b = 3 + 1


⇒ 8a = 4



Putting above value in (i),



⇒ 4b = 3 – 2


⇒ 4b = 1





… (iii)



…. (iv)


Add (iii) and (iv),


3x + y + 3x – y = 2 + 4


⇒ 6x = 6


⇒ x = 1


Putting the above value in (iii),


3(1) + y = 2


⇒ y = 3 – 2


⇒ y = 1


More from this chapter

All 71 →
1

Solve the following pairs of linear equations:

2x + 3y = 2xy, 6x + 12y = 7xy

 1

Solve the following pairs of linear equations:

x ≠ 1, y ≠ 1

 1

Solve the following pairs of linear equations:

x > 0, y > 0

 2

5 women and 2 men together can finish an embroidery work in 4 days, while 6 women and 3 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work. Also find the time taken by 1 man alone to finish the work.