Q4 of 92 Page 69

Let us solve the following linear simultaneous equations in two variables by the method of elimination:

ax + by = 1


In this case, we will eliminate y from both the equations

(i)


(ii)


Multiplying equation (i) by ‘a’ and (ii) by ‘b’ to eliminate y we get,


a2x + aby = a (iii)




(iv)


Subtracting (iii) from (iv), we get





Putting the value of x in (i) we get


Hence the solution of the linear equation is


More from this chapter

All 92 →
4

Let us solve the following linear simultaneous equations in two variables by the method of elimination:


ax - by = a2 - b2

 4

Let us solve the following linear simultaneous equations in two variables by the method of elimination:

ax + by = c


a2 x + b2y = c2

 4

Let us solve the following linear simultaneous equations in two variables by the method of elimination:

(7x – y – 6)2 + (14x + 2y –16)2 = 0

 1

Let us express the variable x of the equation in term of the variable y.