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

Question

Philoid · Accepted Answer

Let us take as

and

Then the above equations will be

1a + 1.b = 3 (i)

2a + 3b = 5 (ii)

In this problem, we will eliminate ‘a’ from both the equations, Multiplying equation (i) with 2, we have

⇒ b = - 1, putting the value of b in equation(i) a = 3 - b or a = 4.

Since ⇒ and

⇒ y = 1

Hence the solution of the linear equation is and y = 1.